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Finding the Fourth Proportional to 16,695.38, 23,039.64 and 10,407.76

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Solution

The fourth proportional to 16,695.38, 23,039.64 and 10,407.76 is: 14,362.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,695.38 : 23,039.64 = 10,407.76 : x
  2. Step 2: Convert to fraction form
    16,695.38/23,039.64 = 10,407.76/x
  3. Step 3: Cross multiply
    16,695.38x = 23,039.64 × 10,407.76
  4. Step 4: Simplify right side
    16,695.38x = 239,791,043.61
  5. Step 5: Solve for x
    x = 239,791,043.61/16,695.38
  6. Step 6: Final answer
    x = 14,362.72

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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.