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Finding the Fourth Proportional to 15,138.68, 22,688.80 and 6,809.80

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Solution

The fourth proportional to 15,138.68, 22,688.80 and 6,809.80 is: 10,206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138.68 : 22,688.80 = 6,809.80 : x
  2. Step 2: Convert to fraction form
    15,138.68/22,688.80 = 6,809.80/x
  3. Step 3: Cross multiply
    15,138.68x = 22,688.80 × 6,809.80
  4. Step 4: Simplify right side
    15,138.68x = 154,506,190.24
  5. Step 5: Solve for x
    x = 154,506,190.24/15,138.68
  6. Step 6: Final answer
    x = 10,206.05

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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.