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Finding the Fourth Proportional to 17,700.17, 24,426.05 and 9,742.22

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Solution

The fourth proportional to 17,700.17, 24,426.05 and 9,742.22 is: 13,444.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,700.17 : 24,426.05 = 9,742.22 : x
  2. Step 2: Convert to fraction form
    17,700.17/24,426.05 = 9,742.22/x
  3. Step 3: Cross multiply
    17,700.17x = 24,426.05 × 9,742.22
  4. Step 4: Simplify right side
    17,700.17x = 237,963,965.19
  5. Step 5: Solve for x
    x = 237,963,965.19/17,700.17
  6. Step 6: Final answer
    x = 13,444.16

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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.