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Finding the Fourth Proportional to 24,700.32, 34,087.24 and 13,522.32

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Solution

The fourth proportional to 24,700.32, 34,087.24 and 13,522.32 is: 18,661.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,700.32 : 34,087.24 = 13,522.32 : x
  2. Step 2: Convert to fraction form
    24,700.32/34,087.24 = 13,522.32/x
  3. Step 3: Cross multiply
    24,700.32x = 34,087.24 × 13,522.32
  4. Step 4: Simplify right side
    24,700.32x = 460,938,567.20
  5. Step 5: Solve for x
    x = 460,938,567.20/24,700.32
  6. Step 6: Final answer
    x = 18,661.24

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