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Finding the Fourth Proportional to 14,969.44, 22,454.16 and 10,275.21

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Solution

The fourth proportional to 14,969.44, 22,454.16 and 10,275.21 is: 15,412.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969.44 : 22,454.16 = 10,275.21 : x
  2. Step 2: Convert to fraction form
    14,969.44/22,454.16 = 10,275.21/x
  3. Step 3: Cross multiply
    14,969.44x = 22,454.16 × 10,275.21
  4. Step 4: Simplify right side
    14,969.44x = 230,721,158.00
  5. Step 5: Solve for x
    x = 230,721,158.00/14,969.44
  6. Step 6: Final answer
    x = 15,412.82

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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.