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Finding the Fourth Proportional to 13,690.12, 18,892.52 and 7,721.64

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Solution

The fourth proportional to 13,690.12, 18,892.52 and 7,721.64 is: 10,655.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.12 : 18,892.52 = 7,721.64 : x
  2. Step 2: Convert to fraction form
    13,690.12/18,892.52 = 7,721.64/x
  3. Step 3: Cross multiply
    13,690.12x = 18,892.52 × 7,721.64
  4. Step 4: Simplify right side
    13,690.12x = 145,881,238.13
  5. Step 5: Solve for x
    x = 145,881,238.13/13,690.12
  6. Step 6: Final answer
    x = 10,655.95

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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.