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Finding the Fourth Proportional to 14,438.66, 21,637.07 and 6,107.20

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Solution

The fourth proportional to 14,438.66, 21,637.07 and 6,107.20 is: 9,151.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,438.66 : 21,637.07 = 6,107.20 : x
  2. Step 2: Convert to fraction form
    14,438.66/21,637.07 = 6,107.20/x
  3. Step 3: Cross multiply
    14,438.66x = 21,637.07 × 6,107.20
  4. Step 4: Simplify right side
    14,438.66x = 132,141,886.53
  5. Step 5: Solve for x
    x = 132,141,886.53/14,438.66
  6. Step 6: Final answer
    x = 9,151.95

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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.