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Finding the Fourth Proportional to 17,509.01, 24,164.45 and 9,748.61

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Solution

The fourth proportional to 17,509.01, 24,164.45 and 9,748.61 is: 13,454.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.01 : 24,164.45 = 9,748.61 : x
  2. Step 2: Convert to fraction form
    17,509.01/24,164.45 = 9,748.61/x
  3. Step 3: Cross multiply
    17,509.01x = 24,164.45 × 9,748.61
  4. Step 4: Simplify right side
    17,509.01x = 235,569,750.17
  5. Step 5: Solve for x
    x = 235,569,750.17/17,509.01
  6. Step 6: Final answer
    x = 13,454.20

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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.