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Finding the Fourth Proportional to 15,219.40, 22,829.10 and 8,658.40

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Solution

The fourth proportional to 15,219.40, 22,829.10 and 8,658.40 is: 12,987.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,219.40 : 22,829.10 = 8,658.40 : x
  2. Step 2: Convert to fraction form
    15,219.40/22,829.10 = 8,658.40/x
  3. Step 3: Cross multiply
    15,219.40x = 22,829.10 × 8,658.40
  4. Step 4: Simplify right side
    15,219.40x = 197,663,479.44
  5. Step 5: Solve for x
    x = 197,663,479.44/15,219.40
  6. Step 6: Final answer
    x = 12,987.60

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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.