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Finding the Fourth Proportional to 14,458.40, 21,693.84 and 6,144.02

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Solution

The fourth proportional to 14,458.40, 21,693.84 and 6,144.02 is: 9,218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,458.40 : 21,693.84 = 6,144.02 : x
  2. Step 2: Convert to fraction form
    14,458.40/21,693.84 = 6,144.02/x
  3. Step 3: Cross multiply
    14,458.40x = 21,693.84 × 6,144.02
  4. Step 4: Simplify right side
    14,458.40x = 133,287,386.84
  5. Step 5: Solve for x
    x = 133,287,386.84/14,458.40
  6. Step 6: Final answer
    x = 9,218.68

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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.