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Finding the Fourth Proportional to 23,697.61, 32,702.58 and 13,087.24

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Solution

The fourth proportional to 23,697.61, 32,702.58 and 13,087.24 is: 18,060.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,697.61 : 32,702.58 = 13,087.24 : x
  2. Step 2: Convert to fraction form
    23,697.61/32,702.58 = 13,087.24/x
  3. Step 3: Cross multiply
    23,697.61x = 32,702.58 × 13,087.24
  4. Step 4: Simplify right side
    23,697.61x = 427,986,513.08
  5. Step 5: Solve for x
    x = 427,986,513.08/23,697.61
  6. Step 6: Final answer
    x = 18,060.32

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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.