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Finding the Fourth Proportional to 13,265.76, 19,901.12 and 5,470.32

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Solution

The fourth proportional to 13,265.76, 19,901.12 and 5,470.32 is: 8,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,265.76 : 19,901.12 = 5,470.32 : x
  2. Step 2: Convert to fraction form
    13,265.76/19,901.12 = 5,470.32/x
  3. Step 3: Cross multiply
    13,265.76x = 19,901.12 × 5,470.32
  4. Step 4: Simplify right side
    13,265.76x = 108,865,494.76
  5. Step 5: Solve for x
    x = 108,865,494.76/13,265.76
  6. Step 6: Final answer
    x = 8,206.50

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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.