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Finding the Fourth Proportional to 15,834.32, 23,728.80 and 8,894.24

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Solution

The fourth proportional to 15,834.32, 23,728.80 and 8,894.24 is: 13,328.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,834.32 : 23,728.80 = 8,894.24 : x
  2. Step 2: Convert to fraction form
    15,834.32/23,728.80 = 8,894.24/x
  3. Step 3: Cross multiply
    15,834.32x = 23,728.80 × 8,894.24
  4. Step 4: Simplify right side
    15,834.32x = 211,049,642.11
  5. Step 5: Solve for x
    x = 211,049,642.11/15,834.32
  6. Step 6: Final answer
    x = 13,328.62

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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.