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Finding the Fourth Proportional to 27,652.40, 41,478.60 and 9,184.40

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Solution

The fourth proportional to 27,652.40, 41,478.60 and 9,184.40 is: 13,776.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,652.40 : 41,478.60 = 9,184.40 : x
  2. Step 2: Convert to fraction form
    27,652.40/41,478.60 = 9,184.40/x
  3. Step 3: Cross multiply
    27,652.40x = 41,478.60 × 9,184.40
  4. Step 4: Simplify right side
    27,652.40x = 380,956,053.84
  5. Step 5: Solve for x
    x = 380,956,053.84/27,652.40
  6. Step 6: Final answer
    x = 13,776.60

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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.