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Finding the Fourth Proportional to 17,488.50, 24,133.30 and 9,934.64

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Solution

The fourth proportional to 17,488.50, 24,133.30 and 9,934.64 is: 13,709.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,488.50 : 24,133.30 = 9,934.64 : x
  2. Step 2: Convert to fraction form
    17,488.50/24,133.30 = 9,934.64/x
  3. Step 3: Cross multiply
    17,488.50x = 24,133.30 × 9,934.64
  4. Step 4: Simplify right side
    17,488.50x = 239,755,647.51
  5. Step 5: Solve for x
    x = 239,755,647.51/17,488.50
  6. Step 6: Final answer
    x = 13,709.33

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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.