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Finding the Fourth Proportional to 27,834.50, 38,411.75 and 16,656.50

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Solution

The fourth proportional to 27,834.50, 38,411.75 and 16,656.50 is: 22,986.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,834.50 : 38,411.75 = 16,656.50 : x
  2. Step 2: Convert to fraction form
    27,834.50/38,411.75 = 16,656.50/x
  3. Step 3: Cross multiply
    27,834.50x = 38,411.75 × 16,656.50
  4. Step 4: Simplify right side
    27,834.50x = 639,805,313.88
  5. Step 5: Solve for x
    x = 639,805,313.88/27,834.50
  6. Step 6: Final answer
    x = 22,986.05

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1.5x scale

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.