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Finding the Fourth Proportional to 27,582.66, 38,066.88 and 16,255.68

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Solution

The fourth proportional to 27,582.66, 38,066.88 and 16,255.68 is: 22,434.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,582.66 : 38,066.88 = 16,255.68 : x
  2. Step 2: Convert to fraction form
    27,582.66/38,066.88 = 16,255.68/x
  3. Step 3: Cross multiply
    27,582.66x = 38,066.88 × 16,255.68
  4. Step 4: Simplify right side
    27,582.66x = 618,803,019.88
  5. Step 5: Solve for x
    x = 618,803,019.88/27,582.66
  6. Step 6: Final answer
    x = 22,434.49

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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.