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Finding the Fourth Proportional to 15,196.41, 20,968.20 and 8,823.74

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Solution

The fourth proportional to 15,196.41, 20,968.20 and 8,823.74 is: 12,175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,196.41 : 20,968.20 = 8,823.74 : x
  2. Step 2: Convert to fraction form
    15,196.41/20,968.20 = 8,823.74/x
  3. Step 3: Cross multiply
    15,196.41x = 20,968.20 × 8,823.74
  4. Step 4: Simplify right side
    15,196.41x = 185,017,840.23
  5. Step 5: Solve for x
    x = 185,017,840.23/15,196.41
  6. Step 6: Final answer
    x = 12,175.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.