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Finding the Fourth Proportional to 24,828.12, 34,261.02 and 14,217.48

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Solution

The fourth proportional to 24,828.12, 34,261.02 and 14,217.48 is: 19,619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,828.12 : 34,261.02 = 14,217.48 : x
  2. Step 2: Convert to fraction form
    24,828.12/34,261.02 = 14,217.48/x
  3. Step 3: Cross multiply
    24,828.12x = 34,261.02 × 14,217.48
  4. Step 4: Simplify right side
    24,828.12x = 487,105,366.63
  5. Step 5: Solve for x
    x = 487,105,366.63/24,828.12
  6. Step 6: Final answer
    x = 19,619.10

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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.