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Finding the Fourth Proportional to 14,980.56, 22,470.84 and 7,585.20

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Solution

The fourth proportional to 14,980.56, 22,470.84 and 7,585.20 is: 11,377.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,980.56 : 22,470.84 = 7,585.20 : x
  2. Step 2: Convert to fraction form
    14,980.56/22,470.84 = 7,585.20/x
  3. Step 3: Cross multiply
    14,980.56x = 22,470.84 × 7,585.20
  4. Step 4: Simplify right side
    14,980.56x = 170,445,815.57
  5. Step 5: Solve for x
    x = 170,445,815.57/14,980.56
  6. Step 6: Final answer
    x = 11,377.80

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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.