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Finding the Fourth Proportional to 15,140.68, 22,710.76 and 6,814.80

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Solution

The fourth proportional to 15,140.68, 22,710.76 and 6,814.80 is: 10,222.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,140.68 : 22,710.76 = 6,814.80 : x
  2. Step 2: Convert to fraction form
    15,140.68/22,710.76 = 6,814.80/x
  3. Step 3: Cross multiply
    15,140.68x = 22,710.76 × 6,814.80
  4. Step 4: Simplify right side
    15,140.68x = 154,769,287.25
  5. Step 5: Solve for x
    x = 154,769,287.25/15,140.68
  6. Step 6: Final answer
    x = 10,222.08

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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.