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Finding the Fourth Proportional to 10,326.90, 15,490.36 and 9,801

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Solution

The fourth proportional to 10,326.90, 15,490.36 and 9,801 is: 14,701.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,326.90 : 15,490.36 = 9,801 : x
  2. Step 2: Convert to fraction form
    10,326.90/15,490.36 = 9,801/x
  3. Step 3: Cross multiply
    10,326.90x = 15,490.36 × 9,801
  4. Step 4: Simplify right side
    10,326.90x = 151,821,018.36
  5. Step 5: Solve for x
    x = 151,821,018.36/10,326.90
  6. Step 6: Final answer
    x = 14,701.51

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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.