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Finding the Fourth Proportional to 25,102.16, 34,641 and 13,924.24

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Solution

The fourth proportional to 25,102.16, 34,641 and 13,924.24 is: 19,215.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,102.16 : 34,641 = 13,924.24 : x
  2. Step 2: Convert to fraction form
    25,102.16/34,641 = 13,924.24/x
  3. Step 3: Cross multiply
    25,102.16x = 34,641 × 13,924.24
  4. Step 4: Simplify right side
    25,102.16x = 482,349,597.84
  5. Step 5: Solve for x
    x = 482,349,597.84/25,102.16
  6. Step 6: Final answer
    x = 19,215.46

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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.