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Finding the Fourth Proportional to 23,545.96, 35,314.68 and 9,505.40

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Solution

The fourth proportional to 23,545.96, 35,314.68 and 9,505.40 is: 14,256.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,545.96 : 35,314.68 = 9,505.40 : x
  2. Step 2: Convert to fraction form
    23,545.96/35,314.68 = 9,505.40/x
  3. Step 3: Cross multiply
    23,545.96x = 35,314.68 × 9,505.40
  4. Step 4: Simplify right side
    23,545.96x = 335,680,159.27
  5. Step 5: Solve for x
    x = 335,680,159.27/23,545.96
  6. Step 6: Final answer
    x = 14,256.38

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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.