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Finding the Fourth Proportional to 14,366.63, 19,826.98 and 8,400.17

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Solution

The fourth proportional to 14,366.63, 19,826.98 and 8,400.17 is: 11,592.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,366.63 : 19,826.98 = 8,400.17 : x
  2. Step 2: Convert to fraction form
    14,366.63/19,826.98 = 8,400.17/x
  3. Step 3: Cross multiply
    14,366.63x = 19,826.98 × 8,400.17
  4. Step 4: Simplify right side
    14,366.63x = 166,550,031.15
  5. Step 5: Solve for x
    x = 166,550,031.15/14,366.63
  6. Step 6: Final answer
    x = 11,592.84

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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.