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Finding the Fourth Proportional to 28,841.25, 39,802.14 and 16,266

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Solution

The fourth proportional to 28,841.25, 39,802.14 and 16,266 is: 22,447.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,841.25 : 39,802.14 = 16,266 : x
  2. Step 2: Convert to fraction form
    28,841.25/39,802.14 = 16,266/x
  3. Step 3: Cross multiply
    28,841.25x = 39,802.14 × 16,266
  4. Step 4: Simplify right side
    28,841.25x = 647,421,609.24
  5. Step 5: Solve for x
    x = 647,421,609.24/28,841.25
  6. Step 6: Final answer
    x = 22,447.77

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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.