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Finding the Fourth Proportional to 17,659.32, 24,369.87 and 9,702.06

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Solution

The fourth proportional to 17,659.32, 24,369.87 and 9,702.06 is: 13,388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,659.32 : 24,369.87 = 9,702.06 : x
  2. Step 2: Convert to fraction form
    17,659.32/24,369.87 = 9,702.06/x
  3. Step 3: Cross multiply
    17,659.32x = 24,369.87 × 9,702.06
  4. Step 4: Simplify right side
    17,659.32x = 236,437,904.26
  5. Step 5: Solve for x
    x = 236,437,904.26/17,659.32
  6. Step 6: Final answer
    x = 13,388.85

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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.