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Finding the Fourth Proportional to 14,938.14, 22,414.47 and 9,394.10

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Solution

The fourth proportional to 14,938.14, 22,414.47 and 9,394.10 is: 14,095.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,938.14 : 22,414.47 = 9,394.10 : x
  2. Step 2: Convert to fraction form
    14,938.14/22,414.47 = 9,394.10/x
  3. Step 3: Cross multiply
    14,938.14x = 22,414.47 × 9,394.10
  4. Step 4: Simplify right side
    14,938.14x = 210,563,772.63
  5. Step 5: Solve for x
    x = 210,563,772.63/14,938.14
  6. Step 6: Final answer
    x = 14,095.72

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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.