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Finding the Fourth Proportional to 13,265.84, 19,901.04 and 5,470.40

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Solution

The fourth proportional to 13,265.84, 19,901.04 and 5,470.40 is: 8,206.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,265.84 : 19,901.04 = 5,470.40 : x
  2. Step 2: Convert to fraction form
    13,265.84/19,901.04 = 5,470.40/x
  3. Step 3: Cross multiply
    13,265.84x = 19,901.04 × 5,470.40
  4. Step 4: Simplify right side
    13,265.84x = 108,866,649.22
  5. Step 5: Solve for x
    x = 108,866,649.22/13,265.84
  6. Step 6: Final answer
    x = 8,206.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.