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Finding the Fourth Proportional to 21,078.87, 31,619.36 and 7,038.33

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Solution

The fourth proportional to 21,078.87, 31,619.36 and 7,038.33 is: 10,557.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,078.87 : 31,619.36 = 7,038.33 : x
  2. Step 2: Convert to fraction form
    21,078.87/31,619.36 = 7,038.33/x
  3. Step 3: Cross multiply
    21,078.87x = 31,619.36 × 7,038.33
  4. Step 4: Simplify right side
    21,078.87x = 222,547,454.88
  5. Step 5: Solve for x
    x = 222,547,454.88/21,078.87
  6. Step 6: Final answer
    x = 10,557.85

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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.