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Finding the Fourth Proportional to 27,582.56, 38,064.72 and 15,008.16

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Solution

The fourth proportional to 27,582.56, 38,064.72 and 15,008.16 is: 20,711.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,582.56 : 38,064.72 = 15,008.16 : x
  2. Step 2: Convert to fraction form
    27,582.56/38,064.72 = 15,008.16/x
  3. Step 3: Cross multiply
    27,582.56x = 38,064.72 × 15,008.16
  4. Step 4: Simplify right side
    27,582.56x = 571,281,408.12
  5. Step 5: Solve for x
    x = 571,281,408.12/27,582.56
  6. Step 6: Final answer
    x = 20,711.69

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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.