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Finding the Fourth Proportional to 15,244.16, 22,856.64 and 7,343.84

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Solution

The fourth proportional to 15,244.16, 22,856.64 and 7,343.84 is: 11,011.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,244.16 : 22,856.64 = 7,343.84 : x
  2. Step 2: Convert to fraction form
    15,244.16/22,856.64 = 7,343.84/x
  3. Step 3: Cross multiply
    15,244.16x = 22,856.64 × 7,343.84
  4. Step 4: Simplify right side
    15,244.16x = 167,855,507.10
  5. Step 5: Solve for x
    x = 167,855,507.10/15,244.16
  6. Step 6: Final answer
    x = 11,011.14

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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.