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Finding the Fourth Proportional to 15,398.24, 23,106 and 6,164.96

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Solution

The fourth proportional to 15,398.24, 23,106 and 6,164.96 is: 9,250.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,398.24 : 23,106 = 6,164.96 : x
  2. Step 2: Convert to fraction form
    15,398.24/23,106 = 6,164.96/x
  3. Step 3: Cross multiply
    15,398.24x = 23,106 × 6,164.96
  4. Step 4: Simplify right side
    15,398.24x = 142,447,565.76
  5. Step 5: Solve for x
    x = 142,447,565.76/15,398.24
  6. Step 6: Final answer
    x = 9,250.90

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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.