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Finding the Fourth Proportional to 28,547.40, 42,824.30 and 8,825.80

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Solution

The fourth proportional to 28,547.40, 42,824.30 and 8,825.80 is: 13,239.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,547.40 : 42,824.30 = 8,825.80 : x
  2. Step 2: Convert to fraction form
    28,547.40/42,824.30 = 8,825.80/x
  3. Step 3: Cross multiply
    28,547.40x = 42,824.30 × 8,825.80
  4. Step 4: Simplify right side
    28,547.40x = 377,958,706.94
  5. Step 5: Solve for x
    x = 377,958,706.94/28,547.40
  6. Step 6: Final answer
    x = 13,239.69

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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.