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Finding the Fourth Proportional to 10,266.89, 15,326.06 and 9,021.32

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Solution

The fourth proportional to 10,266.89, 15,326.06 and 9,021.32 is: 13,466.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266.89 : 15,326.06 = 9,021.32 : x
  2. Step 2: Convert to fraction form
    10,266.89/15,326.06 = 9,021.32/x
  3. Step 3: Cross multiply
    10,266.89x = 15,326.06 × 9,021.32
  4. Step 4: Simplify right side
    10,266.89x = 138,261,352.47
  5. Step 5: Solve for x
    x = 138,261,352.47/10,266.89
  6. Step 6: Final answer
    x = 13,466.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.