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Finding the Fourth Proportional to 14,365.50, 19,826.83 and 8,314.87

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Solution

The fourth proportional to 14,365.50, 19,826.83 and 8,314.87 is: 11,475.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,365.50 : 19,826.83 = 8,314.87 : x
  2. Step 2: Convert to fraction form
    14,365.50/19,826.83 = 8,314.87/x
  3. Step 3: Cross multiply
    14,365.50x = 19,826.83 × 8,314.87
  4. Step 4: Simplify right side
    14,365.50x = 164,857,373.25
  5. Step 5: Solve for x
    x = 164,857,373.25/14,365.50
  6. Step 6: Final answer
    x = 11,475.92

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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.