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Finding the Fourth Proportional to 12,057.76, 16,656.48 and 9,096.40

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Solution

The fourth proportional to 12,057.76, 16,656.48 and 9,096.40 is: 12,565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.76 : 16,656.48 = 9,096.40 : x
  2. Step 2: Convert to fraction form
    12,057.76/16,656.48 = 9,096.40/x
  3. Step 3: Cross multiply
    12,057.76x = 16,656.48 × 9,096.40
  4. Step 4: Simplify right side
    12,057.76x = 151,514,004.67
  5. Step 5: Solve for x
    x = 151,514,004.67/12,057.76
  6. Step 6: Final answer
    x = 12,565.68

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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.