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Finding the Fourth Proportional to 17,866.59, 24,655.84 and 9,910

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Solution

The fourth proportional to 17,866.59, 24,655.84 and 9,910 is: 13,675.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,866.59 : 24,655.84 = 9,910 : x
  2. Step 2: Convert to fraction form
    17,866.59/24,655.84 = 9,910/x
  3. Step 3: Cross multiply
    17,866.59x = 24,655.84 × 9,910
  4. Step 4: Simplify right side
    17,866.59x = 244,339,374.40
  5. Step 5: Solve for x
    x = 244,339,374.40/17,866.59
  6. Step 6: Final answer
    x = 13,675.77

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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.