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Finding the Fourth Proportional to 12,781.50, 19,173.87 and 3,547.50

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Solution

The fourth proportional to 12,781.50, 19,173.87 and 3,547.50 is: 5,321.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.50 : 19,173.87 = 3,547.50 : x
  2. Step 2: Convert to fraction form
    12,781.50/19,173.87 = 3,547.50/x
  3. Step 3: Cross multiply
    12,781.50x = 19,173.87 × 3,547.50
  4. Step 4: Simplify right side
    12,781.50x = 68,019,303.83
  5. Step 5: Solve for x
    x = 68,019,303.83/12,781.50
  6. Step 6: Final answer
    x = 5,321.70

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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.