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Finding the Fourth Proportional to 13,680.40, 20,519.16 and 5,888.08

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Solution

The fourth proportional to 13,680.40, 20,519.16 and 5,888.08 is: 8,831.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,680.40 : 20,519.16 = 5,888.08 : x
  2. Step 2: Convert to fraction form
    13,680.40/20,519.16 = 5,888.08/x
  3. Step 3: Cross multiply
    13,680.40x = 20,519.16 × 5,888.08
  4. Step 4: Simplify right side
    13,680.40x = 120,818,455.61
  5. Step 5: Solve for x
    x = 120,818,455.61/13,680.40
  6. Step 6: Final answer
    x = 8,831.50

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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.