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Finding the Fourth Proportional to 21,981.81, 32,977.29 and 8,835.21

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Solution

The fourth proportional to 21,981.81, 32,977.29 and 8,835.21 is: 13,254.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,981.81 : 32,977.29 = 8,835.21 : x
  2. Step 2: Convert to fraction form
    21,981.81/32,977.29 = 8,835.21/x
  3. Step 3: Cross multiply
    21,981.81x = 32,977.29 × 8,835.21
  4. Step 4: Simplify right side
    21,981.81x = 291,361,315.51
  5. Step 5: Solve for x
    x = 291,361,315.51/21,981.81
  6. Step 6: Final answer
    x = 13,254.65

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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.