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Finding the Fourth Proportional to 24,497.12, 33,806.16 and 14,426

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Solution

The fourth proportional to 24,497.12, 33,806.16 and 14,426 is: 19,907.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,497.12 : 33,806.16 = 14,426 : x
  2. Step 2: Convert to fraction form
    24,497.12/33,806.16 = 14,426/x
  3. Step 3: Cross multiply
    24,497.12x = 33,806.16 × 14,426
  4. Step 4: Simplify right side
    24,497.12x = 487,687,664.16
  5. Step 5: Solve for x
    x = 487,687,664.16/24,497.12
  6. Step 6: Final answer
    x = 19,907.96

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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.