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Finding the Fourth Proportional to 15,209.04, 22,815.96 and 6,444

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Solution

The fourth proportional to 15,209.04, 22,815.96 and 6,444 is: 9,667.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,209.04 : 22,815.96 = 6,444 : x
  2. Step 2: Convert to fraction form
    15,209.04/22,815.96 = 6,444/x
  3. Step 3: Cross multiply
    15,209.04x = 22,815.96 × 6,444
  4. Step 4: Simplify right side
    15,209.04x = 147,026,046.24
  5. Step 5: Solve for x
    x = 147,026,046.24/15,209.04
  6. Step 6: Final answer
    x = 9,667.02

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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.