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Finding the Fourth Proportional to 25,462.16, 35,142 and 14,851.79

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Solution

The fourth proportional to 25,462.16, 35,142 and 14,851.79 is: 20,497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,462.16 : 35,142 = 14,851.79 : x
  2. Step 2: Convert to fraction form
    25,462.16/35,142 = 14,851.79/x
  3. Step 3: Cross multiply
    25,462.16x = 35,142 × 14,851.79
  4. Step 4: Simplify right side
    25,462.16x = 521,921,428.47
  5. Step 5: Solve for x
    x = 521,921,428.47/25,462.16
  6. Step 6: Final answer
    x = 20,497.93

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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.