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Finding the Fourth Proportional to 11,501.84, 15,874.44 and 9,022.16

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Solution

The fourth proportional to 11,501.84, 15,874.44 and 9,022.16 is: 12,452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,501.84 : 15,874.44 = 9,022.16 : x
  2. Step 2: Convert to fraction form
    11,501.84/15,874.44 = 9,022.16/x
  3. Step 3: Cross multiply
    11,501.84x = 15,874.44 × 9,022.16
  4. Step 4: Simplify right side
    11,501.84x = 143,221,737.59
  5. Step 5: Solve for x
    x = 143,221,737.59/11,501.84
  6. Step 6: Final answer
    x = 12,452.07

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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.