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Finding the Fourth Proportional to 17,700.11, 24,425.96 and 9,742.16

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Solution

The fourth proportional to 17,700.11, 24,425.96 and 9,742.16 is: 13,444.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,700.11 : 24,425.96 = 9,742.16 : x
  2. Step 2: Convert to fraction form
    17,700.11/24,425.96 = 9,742.16/x
  3. Step 3: Cross multiply
    17,700.11x = 24,425.96 × 9,742.16
  4. Step 4: Simplify right side
    17,700.11x = 237,961,561.76
  5. Step 5: Solve for x
    x = 237,961,561.76/17,700.11
  6. Step 6: Final answer
    x = 13,444.08

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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.