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Finding the Fourth Proportional to 14,838.72, 22,260.80 and 7,448.28

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Solution

The fourth proportional to 14,838.72, 22,260.80 and 7,448.28 is: 11,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838.72 : 22,260.80 = 7,448.28 : x
  2. Step 2: Convert to fraction form
    14,838.72/22,260.80 = 7,448.28/x
  3. Step 3: Cross multiply
    14,838.72x = 22,260.80 × 7,448.28
  4. Step 4: Simplify right side
    14,838.72x = 165,804,634.18
  5. Step 5: Solve for x
    x = 165,804,634.18/14,838.72
  6. Step 6: Final answer
    x = 11,173.78

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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.