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Finding the Fourth Proportional to 16,154.40, 22,295.40 and 10,506

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Solution

The fourth proportional to 16,154.40, 22,295.40 and 10,506 is: 14,499.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,154.40 : 22,295.40 = 10,506 : x
  2. Step 2: Convert to fraction form
    16,154.40/22,295.40 = 10,506/x
  3. Step 3: Cross multiply
    16,154.40x = 22,295.40 × 10,506
  4. Step 4: Simplify right side
    16,154.40x = 234,235,472.40
  5. Step 5: Solve for x
    x = 234,235,472.40/16,154.40
  6. Step 6: Final answer
    x = 14,499.79

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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.