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Finding the Fourth Proportional to 27,583.88, 38,066.49 and 15,646.77

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Solution

The fourth proportional to 27,583.88, 38,066.49 and 15,646.77 is: 21,592.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,583.88 : 38,066.49 = 15,646.77 : x
  2. Step 2: Convert to fraction form
    27,583.88/38,066.49 = 15,646.77/x
  3. Step 3: Cross multiply
    27,583.88x = 38,066.49 × 15,646.77
  4. Step 4: Simplify right side
    27,583.88x = 595,617,613.74
  5. Step 5: Solve for x
    x = 595,617,613.74/27,583.88
  6. Step 6: Final answer
    x = 21,592.96

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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.