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Finding the Fourth Proportional to 13,872.16, 19,143.58 and 7,584.53

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Solution

The fourth proportional to 13,872.16, 19,143.58 and 7,584.53 is: 10,466.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.16 : 19,143.58 = 7,584.53 : x
  2. Step 2: Convert to fraction form
    13,872.16/19,143.58 = 7,584.53/x
  3. Step 3: Cross multiply
    13,872.16x = 19,143.58 × 7,584.53
  4. Step 4: Simplify right side
    13,872.16x = 145,195,056.82
  5. Step 5: Solve for x
    x = 145,195,056.82/13,872.16
  6. Step 6: Final answer
    x = 10,466.65

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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.