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Finding the Fourth Proportional to 15,947, 23,752.05 and 15,114.32

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Solution

The fourth proportional to 15,947, 23,752.05 and 15,114.32 is: 22,511.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,947 : 23,752.05 = 15,114.32 : x
  2. Step 2: Convert to fraction form
    15,947/23,752.05 = 15,114.32/x
  3. Step 3: Cross multiply
    15,947x = 23,752.05 × 15,114.32
  4. Step 4: Simplify right side
    15,947x = 358,996,008.78
  5. Step 5: Solve for x
    x = 358,996,008.78/15,947
  6. Step 6: Final answer
    x = 22,511.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.