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Finding the Fourth Proportional to 21,301.80, 31,952.70 and 7,277.67

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Solution

The fourth proportional to 21,301.80, 31,952.70 and 7,277.67 is: 10,916.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,301.80 : 31,952.70 = 7,277.67 : x
  2. Step 2: Convert to fraction form
    21,301.80/31,952.70 = 7,277.67/x
  3. Step 3: Cross multiply
    21,301.80x = 31,952.70 × 7,277.67
  4. Step 4: Simplify right side
    21,301.80x = 232,541,206.21
  5. Step 5: Solve for x
    x = 232,541,206.21/21,301.80
  6. Step 6: Final answer
    x = 10,916.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.