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Finding the Fourth Proportional to 15,837.64, 21,854.94 and 8,764.06

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Solution

The fourth proportional to 15,837.64, 21,854.94 and 8,764.06 is: 12,093.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,837.64 : 21,854.94 = 8,764.06 : x
  2. Step 2: Convert to fraction form
    15,837.64/21,854.94 = 8,764.06/x
  3. Step 3: Cross multiply
    15,837.64x = 21,854.94 × 8,764.06
  4. Step 4: Simplify right side
    15,837.64x = 191,538,005.46
  5. Step 5: Solve for x
    x = 191,538,005.46/15,837.64
  6. Step 6: Final answer
    x = 12,093.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.