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Finding the Fourth Proportional to 15,635.86, 21,577.74 and 8,562.16

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Solution

The fourth proportional to 15,635.86, 21,577.74 and 8,562.16 is: 11,815.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,635.86 : 21,577.74 = 8,562.16 : x
  2. Step 2: Convert to fraction form
    15,635.86/21,577.74 = 8,562.16/x
  3. Step 3: Cross multiply
    15,635.86x = 21,577.74 × 8,562.16
  4. Step 4: Simplify right side
    15,635.86x = 184,752,062.32
  5. Step 5: Solve for x
    x = 184,752,062.32/15,635.86
  6. Step 6: Final answer
    x = 11,815.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.