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Finding the Fourth Proportional to 10,720.96, 16,008.64 and 9,223.36

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Solution

The fourth proportional to 10,720.96, 16,008.64 and 9,223.36 is: 13,772.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720.96 : 16,008.64 = 9,223.36 : x
  2. Step 2: Convert to fraction form
    10,720.96/16,008.64 = 9,223.36/x
  3. Step 3: Cross multiply
    10,720.96x = 16,008.64 × 9,223.36
  4. Step 4: Simplify right side
    10,720.96x = 147,653,449.83
  5. Step 5: Solve for x
    x = 147,653,449.83/10,720.96
  6. Step 6: Final answer
    x = 13,772.41

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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.