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Finding the Fourth Proportional to 14,792.31, 22,186.23 and 6,470.87

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Solution

The fourth proportional to 14,792.31, 22,186.23 and 6,470.87 is: 9,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,792.31 : 22,186.23 = 6,470.87 : x
  2. Step 2: Convert to fraction form
    14,792.31/22,186.23 = 6,470.87/x
  3. Step 3: Cross multiply
    14,792.31x = 22,186.23 × 6,470.87
  4. Step 4: Simplify right side
    14,792.31x = 143,564,099.19
  5. Step 5: Solve for x
    x = 143,564,099.19/14,792.31
  6. Step 6: Final answer
    x = 9,705.32

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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.