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Finding the Fourth Proportional to 15,189.83, 22,785.44 and 4,659.08

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Solution

The fourth proportional to 15,189.83, 22,785.44 and 4,659.08 is: 6,988.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,189.83 : 22,785.44 = 4,659.08 : x
  2. Step 2: Convert to fraction form
    15,189.83/22,785.44 = 4,659.08/x
  3. Step 3: Cross multiply
    15,189.83x = 22,785.44 × 4,659.08
  4. Step 4: Simplify right side
    15,189.83x = 106,159,164.50
  5. Step 5: Solve for x
    x = 106,159,164.50/15,189.83
  6. Step 6: Final answer
    x = 6,988.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.