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Finding the Fourth Proportional to 15,242.32, 22,857.74 and 5,244.24

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Solution

The fourth proportional to 15,242.32, 22,857.74 and 5,244.24 is: 7,864.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,242.32 : 22,857.74 = 5,244.24 : x
  2. Step 2: Convert to fraction form
    15,242.32/22,857.74 = 5,244.24/x
  3. Step 3: Cross multiply
    15,242.32x = 22,857.74 × 5,244.24
  4. Step 4: Simplify right side
    15,242.32x = 119,871,448.20
  5. Step 5: Solve for x
    x = 119,871,448.20/15,242.32
  6. Step 6: Final answer
    x = 7,864.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.