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Finding the Fourth Proportional to 12,952, 19,399.56 and 10,705.40

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Solution

The fourth proportional to 12,952, 19,399.56 and 10,705.40 is: 16,034.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952 : 19,399.56 = 10,705.40 : x
  2. Step 2: Convert to fraction form
    12,952/19,399.56 = 10,705.40/x
  3. Step 3: Cross multiply
    12,952x = 19,399.56 × 10,705.40
  4. Step 4: Simplify right side
    12,952x = 207,680,049.62
  5. Step 5: Solve for x
    x = 207,680,049.62/12,952
  6. Step 6: Final answer
    x = 16,034.59

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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.