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Finding the Fourth Proportional to 23,619.47, 32,597.17 and 17,640.76

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Solution

The fourth proportional to 23,619.47, 32,597.17 and 17,640.76 is: 24,345.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,619.47 : 32,597.17 = 17,640.76 : x
  2. Step 2: Convert to fraction form
    23,619.47/32,597.17 = 17,640.76/x
  3. Step 3: Cross multiply
    23,619.47x = 32,597.17 × 17,640.76
  4. Step 4: Simplify right side
    23,619.47x = 575,038,601.46
  5. Step 5: Solve for x
    x = 575,038,601.46/23,619.47
  6. Step 6: Final answer
    x = 24,345.96

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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.