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Finding the Fourth Proportional to 28,215.30, 42,309.36 and 10,434

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Solution

The fourth proportional to 28,215.30, 42,309.36 and 10,434 is: 15,645.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,215.30 : 42,309.36 = 10,434 : x
  2. Step 2: Convert to fraction form
    28,215.30/42,309.36 = 10,434/x
  3. Step 3: Cross multiply
    28,215.30x = 42,309.36 × 10,434
  4. Step 4: Simplify right side
    28,215.30x = 441,455,862.24
  5. Step 5: Solve for x
    x = 441,455,862.24/28,215.30
  6. Step 6: Final answer
    x = 15,645.97

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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.