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Finding the Fourth Proportional to 17,616.47, 24,307.74 and 11,644.95

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Solution

The fourth proportional to 17,616.47, 24,307.74 and 11,644.95 is: 16,068.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,616.47 : 24,307.74 = 11,644.95 : x
  2. Step 2: Convert to fraction form
    17,616.47/24,307.74 = 11,644.95/x
  3. Step 3: Cross multiply
    17,616.47x = 24,307.74 × 11,644.95
  4. Step 4: Simplify right side
    17,616.47x = 283,062,416.91
  5. Step 5: Solve for x
    x = 283,062,416.91/17,616.47
  6. Step 6: Final answer
    x = 16,068.06

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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.