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Finding the Fourth Proportional to 12,807.12, 19,202.76 and 5,012.40

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Solution

The fourth proportional to 12,807.12, 19,202.76 and 5,012.40 is: 7,515.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.12 : 19,202.76 = 5,012.40 : x
  2. Step 2: Convert to fraction form
    12,807.12/19,202.76 = 5,012.40/x
  3. Step 3: Cross multiply
    12,807.12x = 19,202.76 × 5,012.40
  4. Step 4: Simplify right side
    12,807.12x = 96,251,914.22
  5. Step 5: Solve for x
    x = 96,251,914.22/12,807.12
  6. Step 6: Final answer
    x = 7,515.50

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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.