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Finding the Fourth Proportional to 24,227.16, 33,430.49 and 14,148.27

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Solution

The fourth proportional to 24,227.16, 33,430.49 and 14,148.27 is: 19,522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,227.16 : 33,430.49 = 14,148.27 : x
  2. Step 2: Convert to fraction form
    24,227.16/33,430.49 = 14,148.27/x
  3. Step 3: Cross multiply
    24,227.16x = 33,430.49 × 14,148.27
  4. Step 4: Simplify right side
    24,227.16x = 472,983,581.07
  5. Step 5: Solve for x
    x = 472,983,581.07/24,227.16
  6. Step 6: Final answer
    x = 19,522.87

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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.