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Finding the Fourth Proportional to 23,574.18, 32,532.90 and 12,964.38

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Solution

The fourth proportional to 23,574.18, 32,532.90 and 12,964.38 is: 17,891.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,574.18 : 32,532.90 = 12,964.38 : x
  2. Step 2: Convert to fraction form
    23,574.18/32,532.90 = 12,964.38/x
  3. Step 3: Cross multiply
    23,574.18x = 32,532.90 × 12,964.38
  4. Step 4: Simplify right side
    23,574.18x = 421,768,878.10
  5. Step 5: Solve for x
    x = 421,768,878.10/23,574.18
  6. Step 6: Final answer
    x = 17,891.14

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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.