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Finding the Fourth Proportional to 15,122.76, 22,705.20 and 7,733.04

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Solution

The fourth proportional to 15,122.76, 22,705.20 and 7,733.04 is: 11,610.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,122.76 : 22,705.20 = 7,733.04 : x
  2. Step 2: Convert to fraction form
    15,122.76/22,705.20 = 7,733.04/x
  3. Step 3: Cross multiply
    15,122.76x = 22,705.20 × 7,733.04
  4. Step 4: Simplify right side
    15,122.76x = 175,580,219.81
  5. Step 5: Solve for x
    x = 175,580,219.81/15,122.76
  6. Step 6: Final answer
    x = 11,610.33

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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.