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Finding the Fourth Proportional to 15,243, 22,864.49 and 5,380.01

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Solution

The fourth proportional to 15,243, 22,864.49 and 5,380.01 is: 8,070.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,243 : 22,864.49 = 5,380.01 : x
  2. Step 2: Convert to fraction form
    15,243/22,864.49 = 5,380.01/x
  3. Step 3: Cross multiply
    15,243x = 22,864.49 × 5,380.01
  4. Step 4: Simplify right side
    15,243x = 123,011,184.84
  5. Step 5: Solve for x
    x = 123,011,184.84/15,243
  6. Step 6: Final answer
    x = 8,070.01

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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.