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Finding the Fourth Proportional to 17,670.17, 24,384.42 and 9,603.63

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Solution

The fourth proportional to 17,670.17, 24,384.42 and 9,603.63 is: 13,252.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,670.17 : 24,384.42 = 9,603.63 : x
  2. Step 2: Convert to fraction form
    17,670.17/24,384.42 = 9,603.63/x
  3. Step 3: Cross multiply
    17,670.17x = 24,384.42 × 9,603.63
  4. Step 4: Simplify right side
    17,670.17x = 234,178,947.44
  5. Step 5: Solve for x
    x = 234,178,947.44/17,670.17
  6. Step 6: Final answer
    x = 13,252.78

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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.