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Finding the Fourth Proportional to 15,806.70, 21,813.68 and 9,436.98

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Solution

The fourth proportional to 15,806.70, 21,813.68 and 9,436.98 is: 13,023.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806.70 : 21,813.68 = 9,436.98 : x
  2. Step 2: Convert to fraction form
    15,806.70/21,813.68 = 9,436.98/x
  3. Step 3: Cross multiply
    15,806.70x = 21,813.68 × 9,436.98
  4. Step 4: Simplify right side
    15,806.70x = 205,855,261.89
  5. Step 5: Solve for x
    x = 205,855,261.89/15,806.70
  6. Step 6: Final answer
    x = 13,023.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.