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Finding the Fourth Proportional to 15,266.54, 22,902.55 and 7,869.02

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Solution

The fourth proportional to 15,266.54, 22,902.55 and 7,869.02 is: 11,804.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,266.54 : 22,902.55 = 7,869.02 : x
  2. Step 2: Convert to fraction form
    15,266.54/22,902.55 = 7,869.02/x
  3. Step 3: Cross multiply
    15,266.54x = 22,902.55 × 7,869.02
  4. Step 4: Simplify right side
    15,266.54x = 180,220,489.82
  5. Step 5: Solve for x
    x = 180,220,489.82/15,266.54
  6. Step 6: Final answer
    x = 11,804.93

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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.