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Finding the Fourth Proportional to 17,461.83, 24,097.28 and 9,909.65

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Solution

The fourth proportional to 17,461.83, 24,097.28 and 9,909.65 is: 13,675.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,461.83 : 24,097.28 = 9,909.65 : x
  2. Step 2: Convert to fraction form
    17,461.83/24,097.28 = 9,909.65/x
  3. Step 3: Cross multiply
    17,461.83x = 24,097.28 × 9,909.65
  4. Step 4: Simplify right side
    17,461.83x = 238,795,440.72
  5. Step 5: Solve for x
    x = 238,795,440.72/17,461.83
  6. Step 6: Final answer
    x = 13,675.28

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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.