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Finding the Fourth Proportional to 15,690.84, 21,654.51 and 9,723.67

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Solution

The fourth proportional to 15,690.84, 21,654.51 and 9,723.67 is: 13,419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,690.84 : 21,654.51 = 9,723.67 : x
  2. Step 2: Convert to fraction form
    15,690.84/21,654.51 = 9,723.67/x
  3. Step 3: Cross multiply
    15,690.84x = 21,654.51 × 9,723.67
  4. Step 4: Simplify right side
    15,690.84x = 210,561,309.25
  5. Step 5: Solve for x
    x = 210,561,309.25/15,690.84
  6. Step 6: Final answer
    x = 13,419.38

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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.