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Finding the Fourth Proportional to 28,162.68, 42,204.54 and 21,894

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Solution

The fourth proportional to 28,162.68, 42,204.54 and 21,894 is: 32,810.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,162.68 : 42,204.54 = 21,894 : x
  2. Step 2: Convert to fraction form
    28,162.68/42,204.54 = 21,894/x
  3. Step 3: Cross multiply
    28,162.68x = 42,204.54 × 21,894
  4. Step 4: Simplify right side
    28,162.68x = 924,026,198.76
  5. Step 5: Solve for x
    x = 924,026,198.76/28,162.68
  6. Step 6: Final answer
    x = 32,810.31

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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.