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Finding the Fourth Proportional to 24,819.64, 37,219.74 and 9,232.36

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Solution

The fourth proportional to 24,819.64, 37,219.74 and 9,232.36 is: 13,844.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,819.64 : 37,219.74 = 9,232.36 : x
  2. Step 2: Convert to fraction form
    24,819.64/37,219.74 = 9,232.36/x
  3. Step 3: Cross multiply
    24,819.64x = 37,219.74 × 9,232.36
  4. Step 4: Simplify right side
    24,819.64x = 343,626,038.79
  5. Step 5: Solve for x
    x = 343,626,038.79/24,819.64
  6. Step 6: Final answer
    x = 13,844.92

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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.