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Finding the Fourth Proportional to 12,902.10, 19,353.15 and 12,410.03

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Solution

The fourth proportional to 12,902.10, 19,353.15 and 12,410.03 is: 18,615.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.10 : 19,353.15 = 12,410.03 : x
  2. Step 2: Convert to fraction form
    12,902.10/19,353.15 = 12,410.03/x
  3. Step 3: Cross multiply
    12,902.10x = 19,353.15 × 12,410.03
  4. Step 4: Simplify right side
    12,902.10x = 240,173,075.33
  5. Step 5: Solve for x
    x = 240,173,075.33/12,902.10
  6. Step 6: Final answer
    x = 18,615.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.