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Finding the Fourth Proportional to 15,189.48, 22,784.24 and 4,097.27

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Solution

The fourth proportional to 15,189.48, 22,784.24 and 4,097.27 is: 6,145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,189.48 : 22,784.24 = 4,097.27 : x
  2. Step 2: Convert to fraction form
    15,189.48/22,784.24 = 4,097.27/x
  3. Step 3: Cross multiply
    15,189.48x = 22,784.24 × 4,097.27
  4. Step 4: Simplify right side
    15,189.48x = 93,353,219.50
  5. Step 5: Solve for x
    x = 93,353,219.50/15,189.48
  6. Step 6: Final answer
    x = 6,145.91

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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.