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Finding the Fourth Proportional to 12,805.12, 19,199.76 and 5,010.40

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Solution

The fourth proportional to 12,805.12, 19,199.76 and 5,010.40 is: 7,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.12 : 19,199.76 = 5,010.40 : x
  2. Step 2: Convert to fraction form
    12,805.12/19,199.76 = 5,010.40/x
  3. Step 3: Cross multiply
    12,805.12x = 19,199.76 × 5,010.40
  4. Step 4: Simplify right side
    12,805.12x = 96,198,477.50
  5. Step 5: Solve for x
    x = 96,198,477.50/12,805.12
  6. Step 6: Final answer
    x = 7,512.50

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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.