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Finding the Fourth Proportional to 14,436.50, 19,922.38 and 7,812.50

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Solution

The fourth proportional to 14,436.50, 19,922.38 and 7,812.50 is: 10,781.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,436.50 : 19,922.38 = 7,812.50 : x
  2. Step 2: Convert to fraction form
    14,436.50/19,922.38 = 7,812.50/x
  3. Step 3: Cross multiply
    14,436.50x = 19,922.38 × 7,812.50
  4. Step 4: Simplify right side
    14,436.50x = 155,643,593.75
  5. Step 5: Solve for x
    x = 155,643,593.75/14,436.50
  6. Step 6: Final answer
    x = 10,781.26

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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.