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Finding the Fourth Proportional to 17,613.82, 24,307.40 and 9,656

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Solution

The fourth proportional to 17,613.82, 24,307.40 and 9,656 is: 13,325.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,613.82 : 24,307.40 = 9,656 : x
  2. Step 2: Convert to fraction form
    17,613.82/24,307.40 = 9,656/x
  3. Step 3: Cross multiply
    17,613.82x = 24,307.40 × 9,656
  4. Step 4: Simplify right side
    17,613.82x = 234,712,254.40
  5. Step 5: Solve for x
    x = 234,712,254.40/17,613.82
  6. Step 6: Final answer
    x = 13,325.46

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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.