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Finding the Fourth Proportional to 17,703.29, 24,427.67 and 10,148.23

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Solution

The fourth proportional to 17,703.29, 24,427.67 and 10,148.23 is: 14,002.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,703.29 : 24,427.67 = 10,148.23 : x
  2. Step 2: Convert to fraction form
    17,703.29/24,427.67 = 10,148.23/x
  3. Step 3: Cross multiply
    17,703.29x = 24,427.67 × 10,148.23
  4. Step 4: Simplify right side
    17,703.29x = 247,897,491.39
  5. Step 5: Solve for x
    x = 247,897,491.39/17,703.29
  6. Step 6: Final answer
    x = 14,002.91

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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.