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Finding the Fourth Proportional to 15,264, 22,892.76 and 12,358.80

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Solution

The fourth proportional to 15,264, 22,892.76 and 12,358.80 is: 18,535.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,264 : 22,892.76 = 12,358.80 : x
  2. Step 2: Convert to fraction form
    15,264/22,892.76 = 12,358.80/x
  3. Step 3: Cross multiply
    15,264x = 22,892.76 × 12,358.80
  4. Step 4: Simplify right side
    15,264x = 282,927,042.29
  5. Step 5: Solve for x
    x = 282,927,042.29/15,264
  6. Step 6: Final answer
    x = 18,535.58

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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.