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Finding the Fourth Proportional to 15,097.68, 22,659.36 and 7,209.84

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Solution

The fourth proportional to 15,097.68, 22,659.36 and 7,209.84 is: 10,820.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,097.68 : 22,659.36 = 7,209.84 : x
  2. Step 2: Convert to fraction form
    15,097.68/22,659.36 = 7,209.84/x
  3. Step 3: Cross multiply
    15,097.68x = 22,659.36 × 7,209.84
  4. Step 4: Simplify right side
    15,097.68x = 163,370,360.10
  5. Step 5: Solve for x
    x = 163,370,360.10/15,097.68
  6. Step 6: Final answer
    x = 10,820.89

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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.