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Finding the Fourth Proportional to 15,305.72, 22,962.42 and 7,412.01

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Solution

The fourth proportional to 15,305.72, 22,962.42 and 7,412.01 is: 11,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,305.72 : 22,962.42 = 7,412.01 : x
  2. Step 2: Convert to fraction form
    15,305.72/22,962.42 = 7,412.01/x
  3. Step 3: Cross multiply
    15,305.72x = 22,962.42 × 7,412.01
  4. Step 4: Simplify right side
    15,305.72x = 170,197,686.66
  5. Step 5: Solve for x
    x = 170,197,686.66/15,305.72
  6. Step 6: Final answer
    x = 11,119.88

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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.