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Finding the Fourth Proportional to 15,156.32, 20,916.78 and 9,188.24

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Solution

The fourth proportional to 15,156.32, 20,916.78 and 9,188.24 is: 12,680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,156.32 : 20,916.78 = 9,188.24 : x
  2. Step 2: Convert to fraction form
    15,156.32/20,916.78 = 9,188.24/x
  3. Step 3: Cross multiply
    15,156.32x = 20,916.78 × 9,188.24
  4. Step 4: Simplify right side
    15,156.32x = 192,188,412.50
  5. Step 5: Solve for x
    x = 192,188,412.50/15,156.32
  6. Step 6: Final answer
    x = 12,680.41

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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.