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Finding the Fourth Proportional to 14,458.68, 21,684.38 and 6,134.40

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Solution

The fourth proportional to 14,458.68, 21,684.38 and 6,134.40 is: 9,200.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,458.68 : 21,684.38 = 6,134.40 : x
  2. Step 2: Convert to fraction form
    14,458.68/21,684.38 = 6,134.40/x
  3. Step 3: Cross multiply
    14,458.68x = 21,684.38 × 6,134.40
  4. Step 4: Simplify right side
    14,458.68x = 133,020,660.67
  5. Step 5: Solve for x
    x = 133,020,660.67/14,458.68
  6. Step 6: Final answer
    x = 9,200.06

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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.