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Finding the Fourth Proportional to 17,752.64, 24,497.81 and 10,193.66

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Solution

The fourth proportional to 17,752.64, 24,497.81 and 10,193.66 is: 14,066.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,752.64 : 24,497.81 = 10,193.66 : x
  2. Step 2: Convert to fraction form
    17,752.64/24,497.81 = 10,193.66/x
  3. Step 3: Cross multiply
    17,752.64x = 24,497.81 × 10,193.66
  4. Step 4: Simplify right side
    17,752.64x = 249,722,172.43
  5. Step 5: Solve for x
    x = 249,722,172.43/17,752.64
  6. Step 6: Final answer
    x = 14,066.77

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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.