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Finding the Fourth Proportional to 23,101.40, 34,627.80 and 13,219.40

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Solution

The fourth proportional to 23,101.40, 34,627.80 and 13,219.40 is: 19,815.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,101.40 : 34,627.80 = 13,219.40 : x
  2. Step 2: Convert to fraction form
    23,101.40/34,627.80 = 13,219.40/x
  3. Step 3: Cross multiply
    23,101.40x = 34,627.80 × 13,219.40
  4. Step 4: Simplify right side
    23,101.40x = 457,758,739.32
  5. Step 5: Solve for x
    x = 457,758,739.32/23,101.40
  6. Step 6: Final answer
    x = 19,815.19

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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.