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Finding the Fourth Proportional to 15,806.50, 21,810.10 and 10,214.26

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Solution

The fourth proportional to 15,806.50, 21,810.10 and 10,214.26 is: 14,093.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806.50 : 21,810.10 = 10,214.26 : x
  2. Step 2: Convert to fraction form
    15,806.50/21,810.10 = 10,214.26/x
  3. Step 3: Cross multiply
    15,806.50x = 21,810.10 × 10,214.26
  4. Step 4: Simplify right side
    15,806.50x = 222,774,032.03
  5. Step 5: Solve for x
    x = 222,774,032.03/15,806.50
  6. Step 6: Final answer
    x = 14,093.82

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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.