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Finding the Fourth Proportional to 19,685.11, 29,527.54 and 7,206

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Solution

The fourth proportional to 19,685.11, 29,527.54 and 7,206 is: 10,808.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,685.11 : 29,527.54 = 7,206 : x
  2. Step 2: Convert to fraction form
    19,685.11/29,527.54 = 7,206/x
  3. Step 3: Cross multiply
    19,685.11x = 29,527.54 × 7,206
  4. Step 4: Simplify right side
    19,685.11x = 212,775,453.24
  5. Step 5: Solve for x
    x = 212,775,453.24/19,685.11
  6. Step 6: Final answer
    x = 10,808.95

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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.