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Finding the Fourth Proportional to 14,498.46, 21,700.62 and 7,825.68

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Solution

The fourth proportional to 14,498.46, 21,700.62 and 7,825.68 is: 11,713.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,498.46 : 21,700.62 = 7,825.68 : x
  2. Step 2: Convert to fraction form
    14,498.46/21,700.62 = 7,825.68/x
  3. Step 3: Cross multiply
    14,498.46x = 21,700.62 × 7,825.68
  4. Step 4: Simplify right side
    14,498.46x = 169,822,107.92
  5. Step 5: Solve for x
    x = 169,822,107.92/14,498.46
  6. Step 6: Final answer
    x = 11,713.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.