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Finding the Fourth Proportional to 17,707.80, 24,437.16 and 9,750.18

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Solution

The fourth proportional to 17,707.80, 24,437.16 and 9,750.18 is: 13,455.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,707.80 : 24,437.16 = 9,750.18 : x
  2. Step 2: Convert to fraction form
    17,707.80/24,437.16 = 9,750.18/x
  3. Step 3: Cross multiply
    17,707.80x = 24,437.16 × 9,750.18
  4. Step 4: Simplify right side
    17,707.80x = 238,266,708.69
  5. Step 5: Solve for x
    x = 238,266,708.69/17,707.80
  6. Step 6: Final answer
    x = 13,455.47

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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.