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Finding the Fourth Proportional to 20,073.91, 30,088.31 and 9,535.31

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Solution

The fourth proportional to 20,073.91, 30,088.31 and 9,535.31 is: 14,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,073.91 : 30,088.31 = 9,535.31 : x
  2. Step 2: Convert to fraction form
    20,073.91/30,088.31 = 9,535.31/x
  3. Step 3: Cross multiply
    20,073.91x = 30,088.31 × 9,535.31
  4. Step 4: Simplify right side
    20,073.91x = 286,901,363.23
  5. Step 5: Solve for x
    x = 286,901,363.23/20,073.91
  6. Step 6: Final answer
    x = 14,292.25

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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.