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Finding the Fourth Proportional to 21,943, 30,282.10 and 12,007

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Solution

The fourth proportional to 21,943, 30,282.10 and 12,007 is: 16,570.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,943 : 30,282.10 = 12,007 : x
  2. Step 2: Convert to fraction form
    21,943/30,282.10 = 12,007/x
  3. Step 3: Cross multiply
    21,943x = 30,282.10 × 12,007
  4. Step 4: Simplify right side
    21,943x = 363,597,174.70
  5. Step 5: Solve for x
    x = 363,597,174.70/21,943
  6. Step 6: Final answer
    x = 16,570.08

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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.