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Finding the Fourth Proportional to 17,869.35, 24,658.86 and 9,911.40

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Solution

The fourth proportional to 17,869.35, 24,658.86 and 9,911.40 is: 13,677.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,869.35 : 24,658.86 = 9,911.40 : x
  2. Step 2: Convert to fraction form
    17,869.35/24,658.86 = 9,911.40/x
  3. Step 3: Cross multiply
    17,869.35x = 24,658.86 × 9,911.40
  4. Step 4: Simplify right side
    17,869.35x = 244,403,825.00
  5. Step 5: Solve for x
    x = 244,403,825.00/17,869.35
  6. Step 6: Final answer
    x = 13,677.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.