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Finding the Fourth Proportional to 13,047.28, 19,573.80 and 6,118

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Solution

The fourth proportional to 13,047.28, 19,573.80 and 6,118 is: 9,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.28 : 19,573.80 = 6,118 : x
  2. Step 2: Convert to fraction form
    13,047.28/19,573.80 = 6,118/x
  3. Step 3: Cross multiply
    13,047.28x = 19,573.80 × 6,118
  4. Step 4: Simplify right side
    13,047.28x = 119,752,508.40
  5. Step 5: Solve for x
    x = 119,752,508.40/13,047.28
  6. Step 6: Final answer
    x = 9,178.35

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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.