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Finding the Fourth Proportional to 23,604.38, 32,574.04 and 12,994.02

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Solution

The fourth proportional to 23,604.38, 32,574.04 and 12,994.02 is: 17,931.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,604.38 : 32,574.04 = 12,994.02 : x
  2. Step 2: Convert to fraction form
    23,604.38/32,574.04 = 12,994.02/x
  3. Step 3: Cross multiply
    23,604.38x = 32,574.04 × 12,994.02
  4. Step 4: Simplify right side
    23,604.38x = 423,267,727.24
  5. Step 5: Solve for x
    x = 423,267,727.24/23,604.38
  6. Step 6: Final answer
    x = 17,931.75

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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.