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Finding the Fourth Proportional to 24,821.68, 34,254.54 and 13,643.68

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Solution

The fourth proportional to 24,821.68, 34,254.54 and 13,643.68 is: 18,828.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,821.68 : 34,254.54 = 13,643.68 : x
  2. Step 2: Convert to fraction form
    24,821.68/34,254.54 = 13,643.68/x
  3. Step 3: Cross multiply
    24,821.68x = 34,254.54 × 13,643.68
  4. Step 4: Simplify right side
    24,821.68x = 467,357,982.31
  5. Step 5: Solve for x
    x = 467,357,982.31/24,821.68
  6. Step 6: Final answer
    x = 18,828.62

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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.