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Finding the Fourth Proportional to 14,585.12, 20,127.52 and 7,961.12

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Solution

The fourth proportional to 14,585.12, 20,127.52 and 7,961.12 is: 10,986.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,585.12 : 20,127.52 = 7,961.12 : x
  2. Step 2: Convert to fraction form
    14,585.12/20,127.52 = 7,961.12/x
  3. Step 3: Cross multiply
    14,585.12x = 20,127.52 × 7,961.12
  4. Step 4: Simplify right side
    14,585.12x = 160,237,602.02
  5. Step 5: Solve for x
    x = 160,237,602.02/14,585.12
  6. Step 6: Final answer
    x = 10,986.38

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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.