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Finding the Fourth Proportional to 13,900.72, 19,178.20 and 7,928.08

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Solution

The fourth proportional to 13,900.72, 19,178.20 and 7,928.08 is: 10,938.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,900.72 : 19,178.20 = 7,928.08 : x
  2. Step 2: Convert to fraction form
    13,900.72/19,178.20 = 7,928.08/x
  3. Step 3: Cross multiply
    13,900.72x = 19,178.20 × 7,928.08
  4. Step 4: Simplify right side
    13,900.72x = 152,046,303.86
  5. Step 5: Solve for x
    x = 152,046,303.86/13,900.72
  6. Step 6: Final answer
    x = 10,938.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.