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Finding the Fourth Proportional to 21,274.11, 29,355.75 and 12,320.40

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Solution

The fourth proportional to 21,274.11, 29,355.75 and 12,320.40 is: 17,000.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,274.11 : 29,355.75 = 12,320.40 : x
  2. Step 2: Convert to fraction form
    21,274.11/29,355.75 = 12,320.40/x
  3. Step 3: Cross multiply
    21,274.11x = 29,355.75 × 12,320.40
  4. Step 4: Simplify right side
    21,274.11x = 361,674,692.38
  5. Step 5: Solve for x
    x = 361,674,692.38/21,274.11
  6. Step 6: Final answer
    x = 17,000.70

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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.