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Finding the Fourth Proportional to 29,433.68, 40,618.32 and 17,506.16

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Solution

The fourth proportional to 29,433.68, 40,618.32 and 17,506.16 is: 24,158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,433.68 : 40,618.32 = 17,506.16 : x
  2. Step 2: Convert to fraction form
    29,433.68/40,618.32 = 17,506.16/x
  3. Step 3: Cross multiply
    29,433.68x = 40,618.32 × 17,506.16
  4. Step 4: Simplify right side
    29,433.68x = 711,070,808.85
  5. Step 5: Solve for x
    x = 711,070,808.85/29,433.68
  6. Step 6: Final answer
    x = 24,158.41

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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.