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Finding the Fourth Proportional to 22,809.65, 34,191.59 and 9,464.49

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Solution

The fourth proportional to 22,809.65, 34,191.59 and 9,464.49 is: 14,187.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,809.65 : 34,191.59 = 9,464.49 : x
  2. Step 2: Convert to fraction form
    22,809.65/34,191.59 = 9,464.49/x
  3. Step 3: Cross multiply
    22,809.65x = 34,191.59 × 9,464.49
  4. Step 4: Simplify right side
    22,809.65x = 323,605,914.32
  5. Step 5: Solve for x
    x = 323,605,914.32/22,809.65
  6. Step 6: Final answer
    x = 14,187.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.