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Finding the Fourth Proportional to 28,214.73, 38,898.23 and 23,417.30

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Solution

The fourth proportional to 28,214.73, 38,898.23 and 23,417.30 is: 32,284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,214.73 : 38,898.23 = 23,417.30 : x
  2. Step 2: Convert to fraction form
    28,214.73/38,898.23 = 23,417.30/x
  3. Step 3: Cross multiply
    28,214.73x = 38,898.23 × 23,417.30
  4. Step 4: Simplify right side
    28,214.73x = 910,891,501.54
  5. Step 5: Solve for x
    x = 910,891,501.54/28,214.73
  6. Step 6: Final answer
    x = 32,284.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.