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Finding the Fourth Proportional to 14,411.38, 21,599.82 and 9,416.14

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Solution

The fourth proportional to 14,411.38, 21,599.82 and 9,416.14 is: 14,112.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,411.38 : 21,599.82 = 9,416.14 : x
  2. Step 2: Convert to fraction form
    14,411.38/21,599.82 = 9,416.14/x
  3. Step 3: Cross multiply
    14,411.38x = 21,599.82 × 9,416.14
  4. Step 4: Simplify right side
    14,411.38x = 203,386,929.09
  5. Step 5: Solve for x
    x = 203,386,929.09/14,411.38
  6. Step 6: Final answer
    x = 14,112.94

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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.