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Finding the Fourth Proportional to 24,762.75, 34,174.41 and 14,152.14

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Solution

The fourth proportional to 24,762.75, 34,174.41 and 14,152.14 is: 19,530.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,762.75 : 34,174.41 = 14,152.14 : x
  2. Step 2: Convert to fraction form
    24,762.75/34,174.41 = 14,152.14/x
  3. Step 3: Cross multiply
    24,762.75x = 34,174.41 × 14,152.14
  4. Step 4: Simplify right side
    24,762.75x = 483,641,034.74
  5. Step 5: Solve for x
    x = 483,641,034.74/24,762.75
  6. Step 6: Final answer
    x = 19,530.99

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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.