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Finding the Fourth Proportional to 24,828.30, 34,262.33 and 14,074.16

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Solution

The fourth proportional to 24,828.30, 34,262.33 and 14,074.16 is: 19,421.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,828.30 : 34,262.33 = 14,074.16 : x
  2. Step 2: Convert to fraction form
    24,828.30/34,262.33 = 14,074.16/x
  3. Step 3: Cross multiply
    24,828.30x = 34,262.33 × 14,074.16
  4. Step 4: Simplify right side
    24,828.30x = 482,213,604.02
  5. Step 5: Solve for x
    x = 482,213,604.02/24,828.30
  6. Step 6: Final answer
    x = 19,421.94

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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.