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Finding the Fourth Proportional to 23,686.49, 32,686.49 and 13,075.90

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Solution

The fourth proportional to 23,686.49, 32,686.49 and 13,075.90 is: 18,044.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,686.49 : 32,686.49 = 13,075.90 : x
  2. Step 2: Convert to fraction form
    23,686.49/32,686.49 = 13,075.90/x
  3. Step 3: Cross multiply
    23,686.49x = 32,686.49 × 13,075.90
  4. Step 4: Simplify right side
    23,686.49x = 427,405,143.85
  5. Step 5: Solve for x
    x = 427,405,143.85/23,686.49
  6. Step 6: Final answer
    x = 18,044.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.