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Finding the Fourth Proportional to 15,820.70, 23,731.05 and 8,822.30

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Solution

The fourth proportional to 15,820.70, 23,731.05 and 8,822.30 is: 13,233.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,820.70 : 23,731.05 = 8,822.30 : x
  2. Step 2: Convert to fraction form
    15,820.70/23,731.05 = 8,822.30/x
  3. Step 3: Cross multiply
    15,820.70x = 23,731.05 × 8,822.30
  4. Step 4: Simplify right side
    15,820.70x = 209,362,442.42
  5. Step 5: Solve for x
    x = 209,362,442.42/15,820.70
  6. Step 6: Final answer
    x = 13,233.45

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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.