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Finding the Fourth Proportional to 14,665.60, 22,012.80 and 7,278.40

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Solution

The fourth proportional to 14,665.60, 22,012.80 and 7,278.40 is: 10,924.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,665.60 : 22,012.80 = 7,278.40 : x
  2. Step 2: Convert to fraction form
    14,665.60/22,012.80 = 7,278.40/x
  3. Step 3: Cross multiply
    14,665.60x = 22,012.80 × 7,278.40
  4. Step 4: Simplify right side
    14,665.60x = 160,217,963.52
  5. Step 5: Solve for x
    x = 160,217,963.52/14,665.60
  6. Step 6: Final answer
    x = 10,924.75

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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.