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Finding the Fourth Proportional to 27,834, 38,411.04 and 16,656

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Solution

The fourth proportional to 27,834, 38,411.04 and 16,656 is: 22,985.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,834 : 38,411.04 = 16,656 : x
  2. Step 2: Convert to fraction form
    27,834/38,411.04 = 16,656/x
  3. Step 3: Cross multiply
    27,834x = 38,411.04 × 16,656
  4. Step 4: Simplify right side
    27,834x = 639,774,282.24
  5. Step 5: Solve for x
    x = 639,774,282.24/27,834
  6. Step 6: Final answer
    x = 22,985.35

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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.