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Finding the Fourth Proportional to 14,202.54, 19,597.14 and 8,233.11

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Solution

The fourth proportional to 14,202.54, 19,597.14 and 8,233.11 is: 11,360.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,202.54 : 19,597.14 = 8,233.11 : x
  2. Step 2: Convert to fraction form
    14,202.54/19,597.14 = 8,233.11/x
  3. Step 3: Cross multiply
    14,202.54x = 19,597.14 × 8,233.11
  4. Step 4: Simplify right side
    14,202.54x = 161,345,409.31
  5. Step 5: Solve for x
    x = 161,345,409.31/14,202.54
  6. Step 6: Final answer
    x = 11,360.32

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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.