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Finding the Fourth Proportional to 25,038.48, 37,545.72 and 9,446.16

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Solution

The fourth proportional to 25,038.48, 37,545.72 and 9,446.16 is: 14,164.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,038.48 : 37,545.72 = 9,446.16 : x
  2. Step 2: Convert to fraction form
    25,038.48/37,545.72 = 9,446.16/x
  3. Step 3: Cross multiply
    25,038.48x = 37,545.72 × 9,446.16
  4. Step 4: Simplify right side
    25,038.48x = 354,662,878.44
  5. Step 5: Solve for x
    x = 354,662,878.44/25,038.48
  6. Step 6: Final answer
    x = 14,164.71

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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.