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Finding the Fourth Proportional to 27,746.64, 41,624.08 and 10,215.20

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Solution

The fourth proportional to 27,746.64, 41,624.08 and 10,215.20 is: 15,324.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,746.64 : 41,624.08 = 10,215.20 : x
  2. Step 2: Convert to fraction form
    27,746.64/41,624.08 = 10,215.20/x
  3. Step 3: Cross multiply
    27,746.64x = 41,624.08 × 10,215.20
  4. Step 4: Simplify right side
    27,746.64x = 425,198,302.02
  5. Step 5: Solve for x
    x = 425,198,302.02/27,746.64
  6. Step 6: Final answer
    x = 15,324.32

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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.