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Finding the Fourth Proportional to 15,428.32, 23,089.02 and 9,502.57

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Solution

The fourth proportional to 15,428.32, 23,089.02 and 9,502.57 is: 14,220.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,428.32 : 23,089.02 = 9,502.57 : x
  2. Step 2: Convert to fraction form
    15,428.32/23,089.02 = 9,502.57/x
  3. Step 3: Cross multiply
    15,428.32x = 23,089.02 × 9,502.57
  4. Step 4: Simplify right side
    15,428.32x = 219,405,028.78
  5. Step 5: Solve for x
    x = 219,405,028.78/15,428.32
  6. Step 6: Final answer
    x = 14,220.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.