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Finding the Fourth Proportional to 13,572.30, 20,345.69 and 7,322.95

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Solution

The fourth proportional to 13,572.30, 20,345.69 and 7,322.95 is: 10,977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,572.30 : 20,345.69 = 7,322.95 : x
  2. Step 2: Convert to fraction form
    13,572.30/20,345.69 = 7,322.95/x
  3. Step 3: Cross multiply
    13,572.30x = 20,345.69 × 7,322.95
  4. Step 4: Simplify right side
    13,572.30x = 148,990,514.32
  5. Step 5: Solve for x
    x = 148,990,514.32/13,572.30
  6. Step 6: Final answer
    x = 10,977.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.