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Finding the Fourth Proportional to 14,656.76, 21,986.16 and 5,891.68

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Solution

The fourth proportional to 14,656.76, 21,986.16 and 5,891.68 is: 8,837.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656.76 : 21,986.16 = 5,891.68 : x
  2. Step 2: Convert to fraction form
    14,656.76/21,986.16 = 5,891.68/x
  3. Step 3: Cross multiply
    14,656.76x = 21,986.16 × 5,891.68
  4. Step 4: Simplify right side
    14,656.76x = 129,535,419.15
  5. Step 5: Solve for x
    x = 129,535,419.15/14,656.76
  6. Step 6: Final answer
    x = 8,837.93

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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.