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Finding the Fourth Proportional to 13,047.68, 19,573.92 and 4,283.12

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Solution

The fourth proportional to 13,047.68, 19,573.92 and 4,283.12 is: 6,425.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.68 : 19,573.92 = 4,283.12 : x
  2. Step 2: Convert to fraction form
    13,047.68/19,573.92 = 4,283.12/x
  3. Step 3: Cross multiply
    13,047.68x = 19,573.92 × 4,283.12
  4. Step 4: Simplify right side
    13,047.68x = 83,837,448.23
  5. Step 5: Solve for x
    x = 83,837,448.23/13,047.68
  6. Step 6: Final answer
    x = 6,425.47

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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.