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Finding the Fourth Proportional to 13,053.06, 19,580.22 and 4,287.78

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Solution

The fourth proportional to 13,053.06, 19,580.22 and 4,287.78 is: 6,431.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,053.06 : 19,580.22 = 4,287.78 : x
  2. Step 2: Convert to fraction form
    13,053.06/19,580.22 = 4,287.78/x
  3. Step 3: Cross multiply
    13,053.06x = 19,580.22 × 4,287.78
  4. Step 4: Simplify right side
    13,053.06x = 83,955,675.71
  5. Step 5: Solve for x
    x = 83,955,675.71/13,053.06
  6. Step 6: Final answer
    x = 6,431.88

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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.