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Finding the Fourth Proportional to 14,693.76, 22,049.28 and 10,529.28

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Solution

The fourth proportional to 14,693.76, 22,049.28 and 10,529.28 is: 15,800.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,693.76 : 22,049.28 = 10,529.28 : x
  2. Step 2: Convert to fraction form
    14,693.76/22,049.28 = 10,529.28/x
  3. Step 3: Cross multiply
    14,693.76x = 22,049.28 × 10,529.28
  4. Step 4: Simplify right side
    14,693.76x = 232,163,042.92
  5. Step 5: Solve for x
    x = 232,163,042.92/14,693.76
  6. Step 6: Final answer
    x = 15,800.11

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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.