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Finding the Fourth Proportional to 17,666.80, 24,373.28 and 10,109.08

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Solution

The fourth proportional to 17,666.80, 24,373.28 and 10,109.08 is: 13,946.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,666.80 : 24,373.28 = 10,109.08 : x
  2. Step 2: Convert to fraction form
    17,666.80/24,373.28 = 10,109.08/x
  3. Step 3: Cross multiply
    17,666.80x = 24,373.28 × 10,109.08
  4. Step 4: Simplify right side
    17,666.80x = 246,391,437.38
  5. Step 5: Solve for x
    x = 246,391,437.38/17,666.80
  6. Step 6: Final answer
    x = 13,946.58

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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.