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Finding the Fourth Proportional to 15,228.59, 22,845.03 and 4,699.47

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Solution

The fourth proportional to 15,228.59, 22,845.03 and 4,699.47 is: 7,049.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,228.59 : 22,845.03 = 4,699.47 : x
  2. Step 2: Convert to fraction form
    15,228.59/22,845.03 = 4,699.47/x
  3. Step 3: Cross multiply
    15,228.59x = 22,845.03 × 4,699.47
  4. Step 4: Simplify right side
    15,228.59x = 107,359,477.69
  5. Step 5: Solve for x
    x = 107,359,477.69/15,228.59
  6. Step 6: Final answer
    x = 7,049.86

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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.