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Finding the Fourth Proportional to 14,703.50, 20,258.43 and 14,314.70

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Solution

The fourth proportional to 14,703.50, 20,258.43 and 14,314.70 is: 19,722.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,703.50 : 20,258.43 = 14,314.70 : x
  2. Step 2: Convert to fraction form
    14,703.50/20,258.43 = 14,314.70/x
  3. Step 3: Cross multiply
    14,703.50x = 20,258.43 × 14,314.70
  4. Step 4: Simplify right side
    14,703.50x = 289,993,347.92
  5. Step 5: Solve for x
    x = 289,993,347.92/14,703.50
  6. Step 6: Final answer
    x = 19,722.74

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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.