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Finding the Fourth Proportional to 15,314.70, 22,959.90 and 8,389.20

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Solution

The fourth proportional to 15,314.70, 22,959.90 and 8,389.20 is: 12,577.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,314.70 : 22,959.90 = 8,389.20 : x
  2. Step 2: Convert to fraction form
    15,314.70/22,959.90 = 8,389.20/x
  3. Step 3: Cross multiply
    15,314.70x = 22,959.90 × 8,389.20
  4. Step 4: Simplify right side
    15,314.70x = 192,615,193.08
  5. Step 5: Solve for x
    x = 192,615,193.08/15,314.70
  6. Step 6: Final answer
    x = 12,577.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.