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Finding the Fourth Proportional to 15,482.50, 23,207.83 and 6,118.70

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Solution

The fourth proportional to 15,482.50, 23,207.83 and 6,118.70 is: 9,171.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,482.50 : 23,207.83 = 6,118.70 : x
  2. Step 2: Convert to fraction form
    15,482.50/23,207.83 = 6,118.70/x
  3. Step 3: Cross multiply
    15,482.50x = 23,207.83 × 6,118.70
  4. Step 4: Simplify right side
    15,482.50x = 142,001,633.38
  5. Step 5: Solve for x
    x = 142,001,633.38/15,482.50
  6. Step 6: Final answer
    x = 9,171.75

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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.