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Finding the Fourth Proportional to 13,871.63, 19,142.91 and 7,584

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Solution

The fourth proportional to 13,871.63, 19,142.91 and 7,584 is: 10,465.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.63 : 19,142.91 = 7,584 : x
  2. Step 2: Convert to fraction form
    13,871.63/19,142.91 = 7,584/x
  3. Step 3: Cross multiply
    13,871.63x = 19,142.91 × 7,584
  4. Step 4: Simplify right side
    13,871.63x = 145,179,829.44
  5. Step 5: Solve for x
    x = 145,179,829.44/13,871.63
  6. Step 6: Final answer
    x = 10,465.95

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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.