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Finding the Fourth Proportional to 29,657.86, 40,923.80 and 17,718.66

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Solution

The fourth proportional to 29,657.86, 40,923.80 and 17,718.66 is: 24,449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,657.86 : 40,923.80 = 17,718.66 : x
  2. Step 2: Convert to fraction form
    29,657.86/40,923.80 = 17,718.66/x
  3. Step 3: Cross multiply
    29,657.86x = 40,923.80 × 17,718.66
  4. Step 4: Simplify right side
    29,657.86x = 725,114,898.11
  5. Step 5: Solve for x
    x = 725,114,898.11/29,657.86
  6. Step 6: Final answer
    x = 24,449.33

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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.