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Finding the Fourth Proportional to 14,227.56, 19,622.93 and 9,123.56

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Solution

The fourth proportional to 14,227.56, 19,622.93 and 9,123.56 is: 12,583.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,227.56 : 19,622.93 = 9,123.56 : x
  2. Step 2: Convert to fraction form
    14,227.56/19,622.93 = 9,123.56/x
  3. Step 3: Cross multiply
    14,227.56x = 19,622.93 × 9,123.56
  4. Step 4: Simplify right side
    14,227.56x = 179,031,041.25
  5. Step 5: Solve for x
    x = 179,031,041.25/14,227.56
  6. Step 6: Final answer
    x = 12,583.40

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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.