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Finding the Fourth Proportional to 14,871.57, 20,524.59 and 8,583.93

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Solution

The fourth proportional to 14,871.57, 20,524.59 and 8,583.93 is: 11,846.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,871.57 : 20,524.59 = 8,583.93 : x
  2. Step 2: Convert to fraction form
    14,871.57/20,524.59 = 8,583.93/x
  3. Step 3: Cross multiply
    14,871.57x = 20,524.59 × 8,583.93
  4. Step 4: Simplify right side
    14,871.57x = 176,181,643.84
  5. Step 5: Solve for x
    x = 176,181,643.84/14,871.57
  6. Step 6: Final answer
    x = 11,846.88

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Why These Related Problems?

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