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Finding the Fourth Proportional to 15,954.32, 22,017.25 and 8,784.20

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Solution

The fourth proportional to 15,954.32, 22,017.25 and 8,784.20 is: 12,122.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,954.32 : 22,017.25 = 8,784.20 : x
  2. Step 2: Convert to fraction form
    15,954.32/22,017.25 = 8,784.20/x
  3. Step 3: Cross multiply
    15,954.32x = 22,017.25 × 8,784.20
  4. Step 4: Simplify right side
    15,954.32x = 193,403,927.45
  5. Step 5: Solve for x
    x = 193,403,927.45/15,954.32
  6. Step 6: Final answer
    x = 12,122.35

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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.