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Finding the Fourth Proportional to 12,109.48, 16,710.66 and 7,401.64

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Solution

The fourth proportional to 12,109.48, 16,710.66 and 7,401.64 is: 10,214.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109.48 : 16,710.66 = 7,401.64 : x
  2. Step 2: Convert to fraction form
    12,109.48/16,710.66 = 7,401.64/x
  3. Step 3: Cross multiply
    12,109.48x = 16,710.66 × 7,401.64
  4. Step 4: Simplify right side
    12,109.48x = 123,686,289.48
  5. Step 5: Solve for x
    x = 123,686,289.48/12,109.48
  6. Step 6: Final answer
    x = 10,214.01

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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.