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Finding the Fourth Proportional to 14,523.84, 21,772.80 and 7,585.92

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Solution

The fourth proportional to 14,523.84, 21,772.80 and 7,585.92 is: 11,372.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523.84 : 21,772.80 = 7,585.92 : x
  2. Step 2: Convert to fraction form
    14,523.84/21,772.80 = 7,585.92/x
  3. Step 3: Cross multiply
    14,523.84x = 21,772.80 × 7,585.92
  4. Step 4: Simplify right side
    14,523.84x = 165,166,718.98
  5. Step 5: Solve for x
    x = 165,166,718.98/14,523.84
  6. Step 6: Final answer
    x = 11,372.11

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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.