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Finding the Fourth Proportional to 21,264.09, 31,877.64 and 8,776.32

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Solution

The fourth proportional to 21,264.09, 31,877.64 and 8,776.32 is: 13,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,264.09 : 31,877.64 = 8,776.32 : x
  2. Step 2: Convert to fraction form
    21,264.09/31,877.64 = 8,776.32/x
  3. Step 3: Cross multiply
    21,264.09x = 31,877.64 × 8,776.32
  4. Step 4: Simplify right side
    21,264.09x = 279,768,369.48
  5. Step 5: Solve for x
    x = 279,768,369.48/21,264.09
  6. Step 6: Final answer
    x = 13,156.85

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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.