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Finding the Fourth Proportional to 25,432.81, 35,098.83 and 14,102.30

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Solution

The fourth proportional to 25,432.81, 35,098.83 and 14,102.30 is: 19,462.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,432.81 : 35,098.83 = 14,102.30 : x
  2. Step 2: Convert to fraction form
    25,432.81/35,098.83 = 14,102.30/x
  3. Step 3: Cross multiply
    25,432.81x = 35,098.83 × 14,102.30
  4. Step 4: Simplify right side
    25,432.81x = 494,974,230.31
  5. Step 5: Solve for x
    x = 494,974,230.31/25,432.81
  6. Step 6: Final answer
    x = 19,462.03

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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.