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Finding the Fourth Proportional to 20,068.94, 27,695.04 and 11,571

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Solution

The fourth proportional to 20,068.94, 27,695.04 and 11,571 is: 15,967.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,068.94 : 27,695.04 = 11,571 : x
  2. Step 2: Convert to fraction form
    20,068.94/27,695.04 = 11,571/x
  3. Step 3: Cross multiply
    20,068.94x = 27,695.04 × 11,571
  4. Step 4: Simplify right side
    20,068.94x = 320,459,307.84
  5. Step 5: Solve for x
    x = 320,459,307.84/20,068.94
  6. Step 6: Final answer
    x = 15,967.92

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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.