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Finding the Fourth Proportional to 24,014.67, 33,142.14 and 13,946.10

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Solution

The fourth proportional to 24,014.67, 33,142.14 and 13,946.10 is: 19,246.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,014.67 : 33,142.14 = 13,946.10 : x
  2. Step 2: Convert to fraction form
    24,014.67/33,142.14 = 13,946.10/x
  3. Step 3: Cross multiply
    24,014.67x = 33,142.14 × 13,946.10
  4. Step 4: Simplify right side
    24,014.67x = 462,203,598.65
  5. Step 5: Solve for x
    x = 462,203,598.65/24,014.67
  6. Step 6: Final answer
    x = 19,246.72

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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.