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Finding the Fourth Proportional to 24,824.16, 37,238.70 and 8,184.36

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Solution

The fourth proportional to 24,824.16, 37,238.70 and 8,184.36 is: 12,277.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,824.16 : 37,238.70 = 8,184.36 : x
  2. Step 2: Convert to fraction form
    24,824.16/37,238.70 = 8,184.36/x
  3. Step 3: Cross multiply
    24,824.16x = 37,238.70 × 8,184.36
  4. Step 4: Simplify right side
    24,824.16x = 304,774,926.73
  5. Step 5: Solve for x
    x = 304,774,926.73/24,824.16
  6. Step 6: Final answer
    x = 12,277.35

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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.