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Finding the Fourth Proportional to 25,516.81, 38,260.50 and 9,916.21

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Solution

The fourth proportional to 25,516.81, 38,260.50 and 9,916.21 is: 14,868.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,516.81 : 38,260.50 = 9,916.21 : x
  2. Step 2: Convert to fraction form
    25,516.81/38,260.50 = 9,916.21/x
  3. Step 3: Cross multiply
    25,516.81x = 38,260.50 × 9,916.21
  4. Step 4: Simplify right side
    25,516.81x = 379,399,152.71
  5. Step 5: Solve for x
    x = 379,399,152.71/25,516.81
  6. Step 6: Final answer
    x = 14,868.60

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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.