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Finding the Fourth Proportional to 29,665.89, 40,953.74 and 17,088.21

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Solution

The fourth proportional to 29,665.89, 40,953.74 and 17,088.21 is: 23,590.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,665.89 : 40,953.74 = 17,088.21 : x
  2. Step 2: Convert to fraction form
    29,665.89/40,953.74 = 17,088.21/x
  3. Step 3: Cross multiply
    29,665.89x = 40,953.74 × 17,088.21
  4. Step 4: Simplify right side
    29,665.89x = 699,826,109.41
  5. Step 5: Solve for x
    x = 699,826,109.41/29,665.89
  6. Step 6: Final answer
    x = 23,590.26

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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.