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Finding the Fourth Proportional to 14,306.16, 19,741.68 and 8,338.80

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Solution

The fourth proportional to 14,306.16, 19,741.68 and 8,338.80 is: 11,507.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,306.16 : 19,741.68 = 8,338.80 : x
  2. Step 2: Convert to fraction form
    14,306.16/19,741.68 = 8,338.80/x
  3. Step 3: Cross multiply
    14,306.16x = 19,741.68 × 8,338.80
  4. Step 4: Simplify right side
    14,306.16x = 164,621,921.18
  5. Step 5: Solve for x
    x = 164,621,921.18/14,306.16
  6. Step 6: Final answer
    x = 11,507.07

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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.