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Finding the Fourth Proportional to 15,177.12, 20,946.48 and 8,892

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Solution

The fourth proportional to 15,177.12, 20,946.48 and 8,892 is: 12,272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,177.12 : 20,946.48 = 8,892 : x
  2. Step 2: Convert to fraction form
    15,177.12/20,946.48 = 8,892/x
  3. Step 3: Cross multiply
    15,177.12x = 20,946.48 × 8,892
  4. Step 4: Simplify right side
    15,177.12x = 186,256,100.16
  5. Step 5: Solve for x
    x = 186,256,100.16/15,177.12
  6. Step 6: Final answer
    x = 12,272.16

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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.