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Finding the Fourth Proportional to 13,065.69, 19,594.40 and 4,298.57

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Solution

The fourth proportional to 13,065.69, 19,594.40 and 4,298.57 is: 6,446.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,065.69 : 19,594.40 = 4,298.57 : x
  2. Step 2: Convert to fraction form
    13,065.69/19,594.40 = 4,298.57/x
  3. Step 3: Cross multiply
    13,065.69x = 19,594.40 × 4,298.57
  4. Step 4: Simplify right side
    13,065.69x = 84,227,780.54
  5. Step 5: Solve for x
    x = 84,227,780.54/13,065.69
  6. Step 6: Final answer
    x = 6,446.49

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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.