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Finding the Fourth Proportional to 22,473.29, 31,009.06 and 13,977.65

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Solution

The fourth proportional to 22,473.29, 31,009.06 and 13,977.65 is: 19,286.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,473.29 : 31,009.06 = 13,977.65 : x
  2. Step 2: Convert to fraction form
    22,473.29/31,009.06 = 13,977.65/x
  3. Step 3: Cross multiply
    22,473.29x = 31,009.06 × 13,977.65
  4. Step 4: Simplify right side
    22,473.29x = 433,433,787.51
  5. Step 5: Solve for x
    x = 433,433,787.51/22,473.29
  6. Step 6: Final answer
    x = 19,286.62

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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.