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Finding the Fourth Proportional to 21,216.60, 31,835.22 and 8,565.84

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Solution

The fourth proportional to 21,216.60, 31,835.22 and 8,565.84 is: 12,852.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,216.60 : 31,835.22 = 8,565.84 : x
  2. Step 2: Convert to fraction form
    21,216.60/31,835.22 = 8,565.84/x
  3. Step 3: Cross multiply
    21,216.60x = 31,835.22 × 8,565.84
  4. Step 4: Simplify right side
    21,216.60x = 272,695,400.88
  5. Step 5: Solve for x
    x = 272,695,400.88/21,216.60
  6. Step 6: Final answer
    x = 12,852.93

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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.