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Finding the Fourth Proportional to 24,837.53, 34,276.13 and 14,227.16

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Solution

The fourth proportional to 24,837.53, 34,276.13 and 14,227.16 is: 19,633.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,837.53 : 34,276.13 = 14,227.16 : x
  2. Step 2: Convert to fraction form
    24,837.53/34,276.13 = 14,227.16/x
  3. Step 3: Cross multiply
    24,837.53x = 34,276.13 × 14,227.16
  4. Step 4: Simplify right side
    24,837.53x = 487,651,985.69
  5. Step 5: Solve for x
    x = 487,651,985.69/24,837.53
  6. Step 6: Final answer
    x = 19,633.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.