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Finding the Fourth Proportional to 15,655, 23,482.50 and 5,266.75

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Solution

The fourth proportional to 15,655, 23,482.50 and 5,266.75 is: 7,900.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,655 : 23,482.50 = 5,266.75 : x
  2. Step 2: Convert to fraction form
    15,655/23,482.50 = 5,266.75/x
  3. Step 3: Cross multiply
    15,655x = 23,482.50 × 5,266.75
  4. Step 4: Simplify right side
    15,655x = 123,676,456.88
  5. Step 5: Solve for x
    x = 123,676,456.88/15,655
  6. Step 6: Final answer
    x = 7,900.13

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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.