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Finding the Fourth Proportional to 17,740.16, 26,613.84 and 6,646.58

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Solution

The fourth proportional to 17,740.16, 26,613.84 and 6,646.58 is: 9,971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,740.16 : 26,613.84 = 6,646.58 : x
  2. Step 2: Convert to fraction form
    17,740.16/26,613.84 = 6,646.58/x
  3. Step 3: Cross multiply
    17,740.16x = 26,613.84 × 6,646.58
  4. Step 4: Simplify right side
    17,740.16x = 176,891,016.67
  5. Step 5: Solve for x
    x = 176,891,016.67/17,740.16
  6. Step 6: Final answer
    x = 9,971.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.