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Finding the Fourth Proportional to 15,776.46, 23,680.08 and 7,017.12

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Solution

The fourth proportional to 15,776.46, 23,680.08 and 7,017.12 is: 10,532.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,776.46 : 23,680.08 = 7,017.12 : x
  2. Step 2: Convert to fraction form
    15,776.46/23,680.08 = 7,017.12/x
  3. Step 3: Cross multiply
    15,776.46x = 23,680.08 × 7,017.12
  4. Step 4: Simplify right side
    15,776.46x = 166,165,962.97
  5. Step 5: Solve for x
    x = 166,165,962.97/15,776.46
  6. Step 6: Final answer
    x = 10,532.53

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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.