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Finding the Fourth Proportional to 21,677.34, 32,449.77 and 14,267.10

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Solution

The fourth proportional to 21,677.34, 32,449.77 and 14,267.10 is: 21,357.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,677.34 : 32,449.77 = 14,267.10 : x
  2. Step 2: Convert to fraction form
    21,677.34/32,449.77 = 14,267.10/x
  3. Step 3: Cross multiply
    21,677.34x = 32,449.77 × 14,267.10
  4. Step 4: Simplify right side
    21,677.34x = 462,964,113.57
  5. Step 5: Solve for x
    x = 462,964,113.57/21,677.34
  6. Step 6: Final answer
    x = 21,357.05

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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.