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Finding the Fourth Proportional to 17,924.66, 24,736.14 and 9,966.95

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Solution

The fourth proportional to 17,924.66, 24,736.14 and 9,966.95 is: 13,754.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,924.66 : 24,736.14 = 9,966.95 : x
  2. Step 2: Convert to fraction form
    17,924.66/24,736.14 = 9,966.95/x
  3. Step 3: Cross multiply
    17,924.66x = 24,736.14 × 9,966.95
  4. Step 4: Simplify right side
    17,924.66x = 246,543,746.89
  5. Step 5: Solve for x
    x = 246,543,746.89/17,924.66
  6. Step 6: Final answer
    x = 13,754.45

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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.