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Finding the Fourth Proportional to 28,213.86, 38,932.98 and 15,465

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Solution

The fourth proportional to 28,213.86, 38,932.98 and 15,465 is: 21,340.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,213.86 : 38,932.98 = 15,465 : x
  2. Step 2: Convert to fraction form
    28,213.86/38,932.98 = 15,465/x
  3. Step 3: Cross multiply
    28,213.86x = 38,932.98 × 15,465
  4. Step 4: Simplify right side
    28,213.86x = 602,098,535.70
  5. Step 5: Solve for x
    x = 602,098,535.70/28,213.86
  6. Step 6: Final answer
    x = 21,340.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.