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Finding the Fourth Proportional to 21,385.66, 32,015.94 and 12,473.74

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Solution

The fourth proportional to 21,385.66, 32,015.94 and 12,473.74 is: 18,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,385.66 : 32,015.94 = 12,473.74 : x
  2. Step 2: Convert to fraction form
    21,385.66/32,015.94 = 12,473.74/x
  3. Step 3: Cross multiply
    21,385.66x = 32,015.94 × 12,473.74
  4. Step 4: Simplify right side
    21,385.66x = 399,358,511.42
  5. Step 5: Solve for x
    x = 399,358,511.42/21,385.66
  6. Step 6: Final answer
    x = 18,674.13

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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.