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Finding the Fourth Proportional to 15,242.16, 22,864.76 and 6,006

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Solution

The fourth proportional to 15,242.16, 22,864.76 and 6,006 is: 9,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,242.16 : 22,864.76 = 6,006 : x
  2. Step 2: Convert to fraction form
    15,242.16/22,864.76 = 6,006/x
  3. Step 3: Cross multiply
    15,242.16x = 22,864.76 × 6,006
  4. Step 4: Simplify right side
    15,242.16x = 137,325,748.56
  5. Step 5: Solve for x
    x = 137,325,748.56/15,242.16
  6. Step 6: Final answer
    x = 9,009.60

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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.