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Finding the Fourth Proportional to 15,598.80, 23,339.16 and 8,678.16

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Solution

The fourth proportional to 15,598.80, 23,339.16 and 8,678.16 is: 12,984.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,598.80 : 23,339.16 = 8,678.16 : x
  2. Step 2: Convert to fraction form
    15,598.80/23,339.16 = 8,678.16/x
  3. Step 3: Cross multiply
    15,598.80x = 23,339.16 × 8,678.16
  4. Step 4: Simplify right side
    15,598.80x = 202,540,964.75
  5. Step 5: Solve for x
    x = 202,540,964.75/15,598.80
  6. Step 6: Final answer
    x = 12,984.39

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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.