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Finding the Fourth Proportional to 15,322.11, 22,972.41 and 7,827.93

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Solution

The fourth proportional to 15,322.11, 22,972.41 and 7,827.93 is: 11,736.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,322.11 : 22,972.41 = 7,827.93 : x
  2. Step 2: Convert to fraction form
    15,322.11/22,972.41 = 7,827.93/x
  3. Step 3: Cross multiply
    15,322.11x = 22,972.41 × 7,827.93
  4. Step 4: Simplify right side
    15,322.11x = 179,826,417.41
  5. Step 5: Solve for x
    x = 179,826,417.41/15,322.11
  6. Step 6: Final answer
    x = 11,736.40

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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.