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Finding the Fourth Proportional to 17,639.40, 24,341.61 and 9,681.76

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Solution

The fourth proportional to 17,639.40, 24,341.61 and 9,681.76 is: 13,360.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,639.40 : 24,341.61 = 9,681.76 : x
  2. Step 2: Convert to fraction form
    17,639.40/24,341.61 = 9,681.76/x
  3. Step 3: Cross multiply
    17,639.40x = 24,341.61 × 9,681.76
  4. Step 4: Simplify right side
    17,639.40x = 235,669,626.03
  5. Step 5: Solve for x
    x = 235,669,626.03/17,639.40
  6. Step 6: Final answer
    x = 13,360.41

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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.