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Finding the Fourth Proportional to 22,107.61, 30,511.14 and 13,035.02

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Solution

The fourth proportional to 22,107.61, 30,511.14 and 13,035.02 is: 17,989.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,107.61 : 30,511.14 = 13,035.02 : x
  2. Step 2: Convert to fraction form
    22,107.61/30,511.14 = 13,035.02/x
  3. Step 3: Cross multiply
    22,107.61x = 30,511.14 × 13,035.02
  4. Step 4: Simplify right side
    22,107.61x = 397,713,320.12
  5. Step 5: Solve for x
    x = 397,713,320.12/22,107.61
  6. Step 6: Final answer
    x = 17,989.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.