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Finding the Fourth Proportional to 20,717.65, 31,080.98 and 7,570

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Solution

The fourth proportional to 20,717.65, 31,080.98 and 7,570 is: 11,356.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,717.65 : 31,080.98 = 7,570 : x
  2. Step 2: Convert to fraction form
    20,717.65/31,080.98 = 7,570/x
  3. Step 3: Cross multiply
    20,717.65x = 31,080.98 × 7,570
  4. Step 4: Simplify right side
    20,717.65x = 235,283,018.60
  5. Step 5: Solve for x
    x = 235,283,018.60/20,717.65
  6. Step 6: Final answer
    x = 11,356.65

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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.