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Finding the Fourth Proportional to 42,764.74, 64,147.12 and 11,600

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Solution

The fourth proportional to 42,764.74, 64,147.12 and 11,600 is: 17,400.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,764.74 : 64,147.12 = 11,600 : x
  2. Step 2: Convert to fraction form
    42,764.74/64,147.12 = 11,600/x
  3. Step 3: Cross multiply
    42,764.74x = 64,147.12 × 11,600
  4. Step 4: Simplify right side
    42,764.74x = 744,106,592
  5. Step 5: Solve for x
    x = 744,106,592/42,764.74
  6. Step 6: Final answer
    x = 17,400.00

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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.