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Finding the Fourth Proportional to 38,100.96, 57,130.56 and 11,798.40

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Solution

The fourth proportional to 38,100.96, 57,130.56 and 11,798.40 is: 17,691.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,100.96 : 57,130.56 = 11,798.40 : x
  2. Step 2: Convert to fraction form
    38,100.96/57,130.56 = 11,798.40/x
  3. Step 3: Cross multiply
    38,100.96x = 57,130.56 × 11,798.40
  4. Step 4: Simplify right side
    38,100.96x = 674,049,199.10
  5. Step 5: Solve for x
    x = 674,049,199.10/38,100.96
  6. Step 6: Final answer
    x = 17,691.13

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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.