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Finding the Fourth Proportional to 21,007.15, 31,515.75 and 6,014.48

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Solution

The fourth proportional to 21,007.15, 31,515.75 and 6,014.48 is: 9,023.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.15 : 31,515.75 = 6,014.48 : x
  2. Step 2: Convert to fraction form
    21,007.15/31,515.75 = 6,014.48/x
  3. Step 3: Cross multiply
    21,007.15x = 31,515.75 × 6,014.48
  4. Step 4: Simplify right side
    21,007.15x = 189,550,690.48
  5. Step 5: Solve for x
    x = 189,550,690.48/21,007.15
  6. Step 6: Final answer
    x = 9,023.15

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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.