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Finding the Fourth Proportional to 27,303.68, 40,954.08 and 13,448

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Solution

The fourth proportional to 27,303.68, 40,954.08 and 13,448 is: 20,171.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,303.68 : 40,954.08 = 13,448 : x
  2. Step 2: Convert to fraction form
    27,303.68/40,954.08 = 13,448/x
  3. Step 3: Cross multiply
    27,303.68x = 40,954.08 × 13,448
  4. Step 4: Simplify right side
    27,303.68x = 550,750,467.84
  5. Step 5: Solve for x
    x = 550,750,467.84/27,303.68
  6. Step 6: Final answer
    x = 20,171.29

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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.