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Finding the Fourth Proportional to 13,043.12, 19,565.22 and 5,252

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Solution

The fourth proportional to 13,043.12, 19,565.22 and 5,252 is: 7,878.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,043.12 : 19,565.22 = 5,252 : x
  2. Step 2: Convert to fraction form
    13,043.12/19,565.22 = 5,252/x
  3. Step 3: Cross multiply
    13,043.12x = 19,565.22 × 5,252
  4. Step 4: Simplify right side
    13,043.12x = 102,756,535.44
  5. Step 5: Solve for x
    x = 102,756,535.44/13,043.12
  6. Step 6: Final answer
    x = 7,878.22

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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.