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Finding the Fourth Proportional to 21,933.84, 32,853.54 and 12,547.50

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Solution

The fourth proportional to 21,933.84, 32,853.54 and 12,547.50 is: 18,794.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,933.84 : 32,853.54 = 12,547.50 : x
  2. Step 2: Convert to fraction form
    21,933.84/32,853.54 = 12,547.50/x
  3. Step 3: Cross multiply
    21,933.84x = 32,853.54 × 12,547.50
  4. Step 4: Simplify right side
    21,933.84x = 412,229,793.15
  5. Step 5: Solve for x
    x = 412,229,793.15/21,933.84
  6. Step 6: Final answer
    x = 18,794.24

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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.