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Finding the Fourth Proportional to 21,252.16, 31,877.16 and 6,460.75

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Solution

The fourth proportional to 21,252.16, 31,877.16 and 6,460.75 is: 9,690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,252.16 : 31,877.16 = 6,460.75 : x
  2. Step 2: Convert to fraction form
    21,252.16/31,877.16 = 6,460.75/x
  3. Step 3: Cross multiply
    21,252.16x = 31,877.16 × 6,460.75
  4. Step 4: Simplify right side
    21,252.16x = 205,950,361.47
  5. Step 5: Solve for x
    x = 205,950,361.47/21,252.16
  6. Step 6: Final answer
    x = 9,690.80

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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.