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Finding the Fourth Proportional to 22,403.50, 30,916.86 and 12,467.50

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Solution

The fourth proportional to 22,403.50, 30,916.86 and 12,467.50 is: 17,205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,403.50 : 30,916.86 = 12,467.50 : x
  2. Step 2: Convert to fraction form
    22,403.50/30,916.86 = 12,467.50/x
  3. Step 3: Cross multiply
    22,403.50x = 30,916.86 × 12,467.50
  4. Step 4: Simplify right side
    22,403.50x = 385,455,952.05
  5. Step 5: Solve for x
    x = 385,455,952.05/22,403.50
  6. Step 6: Final answer
    x = 17,205.17

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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.