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Finding the Fourth Proportional to 28,578.17, 39,437.86 and 15,832.17

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Solution

The fourth proportional to 28,578.17, 39,437.86 and 15,832.17 is: 21,848.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,578.17 : 39,437.86 = 15,832.17 : x
  2. Step 2: Convert to fraction form
    28,578.17/39,437.86 = 15,832.17/x
  3. Step 3: Cross multiply
    28,578.17x = 39,437.86 × 15,832.17
  4. Step 4: Simplify right side
    28,578.17x = 624,386,903.96
  5. Step 5: Solve for x
    x = 624,386,903.96/28,578.17
  6. Step 6: Final answer
    x = 21,848.39

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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.