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Finding the Fourth Proportional to 13,164.64, 19,736.64 and 6,587.52

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Solution

The fourth proportional to 13,164.64, 19,736.64 and 6,587.52 is: 9,876.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164.64 : 19,736.64 = 6,587.52 : x
  2. Step 2: Convert to fraction form
    13,164.64/19,736.64 = 6,587.52/x
  3. Step 3: Cross multiply
    13,164.64x = 19,736.64 × 6,587.52
  4. Step 4: Simplify right side
    13,164.64x = 130,015,510.73
  5. Step 5: Solve for x
    x = 130,015,510.73/13,164.64
  6. Step 6: Final answer
    x = 9,876.12

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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.