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Finding the Fourth Proportional to 25,911.76, 38,854.86 and 10,916.14

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Solution

The fourth proportional to 25,911.76, 38,854.86 and 10,916.14 is: 16,368.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,911.76 : 38,854.86 = 10,916.14 : x
  2. Step 2: Convert to fraction form
    25,911.76/38,854.86 = 10,916.14/x
  3. Step 3: Cross multiply
    25,911.76x = 38,854.86 × 10,916.14
  4. Step 4: Simplify right side
    25,911.76x = 424,145,091.44
  5. Step 5: Solve for x
    x = 424,145,091.44/25,911.76
  6. Step 6: Final answer
    x = 16,368.83

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Why These Related Problems?

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