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Finding the Fourth Proportional to 14,381.37, 21,564.77 and 6,583.50

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Solution

The fourth proportional to 14,381.37, 21,564.77 and 6,583.50 is: 9,871.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,381.37 : 21,564.77 = 6,583.50 : x
  2. Step 2: Convert to fraction form
    14,381.37/21,564.77 = 6,583.50/x
  3. Step 3: Cross multiply
    14,381.37x = 21,564.77 × 6,583.50
  4. Step 4: Simplify right side
    14,381.37x = 141,971,630.38
  5. Step 5: Solve for x
    x = 141,971,630.38/14,381.37
  6. Step 6: Final answer
    x = 9,871.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.