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Finding the Fourth Proportional to 15,123, 22,686.24 and 4,029.84

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Solution

The fourth proportional to 15,123, 22,686.24 and 4,029.84 is: 6,045.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,123 : 22,686.24 = 4,029.84 : x
  2. Step 2: Convert to fraction form
    15,123/22,686.24 = 4,029.84/x
  3. Step 3: Cross multiply
    15,123x = 22,686.24 × 4,029.84
  4. Step 4: Simplify right side
    15,123x = 91,421,917.40
  5. Step 5: Solve for x
    x = 91,421,917.40/15,123
  6. Step 6: Final answer
    x = 6,045.22

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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.