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Finding the Fourth Proportional to 25,154.32, 34,713.54 and 13,824.52

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Solution

The fourth proportional to 25,154.32, 34,713.54 and 13,824.52 is: 19,078.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,154.32 : 34,713.54 = 13,824.52 : x
  2. Step 2: Convert to fraction form
    25,154.32/34,713.54 = 13,824.52/x
  3. Step 3: Cross multiply
    25,154.32x = 34,713.54 × 13,824.52
  4. Step 4: Simplify right side
    25,154.32x = 479,898,028.00
  5. Step 5: Solve for x
    x = 479,898,028.00/25,154.32
  6. Step 6: Final answer
    x = 19,078.16

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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.