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Finding the Fourth Proportional to 17,590.40, 24,274.70 and 9,633.12

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Solution

The fourth proportional to 17,590.40, 24,274.70 and 9,633.12 is: 13,293.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,590.40 : 24,274.70 = 9,633.12 : x
  2. Step 2: Convert to fraction form
    17,590.40/24,274.70 = 9,633.12/x
  3. Step 3: Cross multiply
    17,590.40x = 24,274.70 × 9,633.12
  4. Step 4: Simplify right side
    17,590.40x = 233,841,098.06
  5. Step 5: Solve for x
    x = 233,841,098.06/17,590.40
  6. Step 6: Final answer
    x = 13,293.68

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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.