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Finding the Fourth Proportional to 17,658.48, 24,370.20 and 9,702.30

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Solution

The fourth proportional to 17,658.48, 24,370.20 and 9,702.30 is: 13,390.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658.48 : 24,370.20 = 9,702.30 : x
  2. Step 2: Convert to fraction form
    17,658.48/24,370.20 = 9,702.30/x
  3. Step 3: Cross multiply
    17,658.48x = 24,370.20 × 9,702.30
  4. Step 4: Simplify right side
    17,658.48x = 236,446,991.46
  5. Step 5: Solve for x
    x = 236,446,991.46/17,658.48
  6. Step 6: Final answer
    x = 13,390.00

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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.