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Finding the Fourth Proportional to 28,407.16, 39,203.22 and 15,832

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Solution

The fourth proportional to 28,407.16, 39,203.22 and 15,832 is: 21,848.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,407.16 : 39,203.22 = 15,832 : x
  2. Step 2: Convert to fraction form
    28,407.16/39,203.22 = 15,832/x
  3. Step 3: Cross multiply
    28,407.16x = 39,203.22 × 15,832
  4. Step 4: Simplify right side
    28,407.16x = 620,665,379.04
  5. Step 5: Solve for x
    x = 620,665,379.04/28,407.16
  6. Step 6: Final answer
    x = 21,848.91

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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.