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Finding the Fourth Proportional to 14,393.96, 21,591.71 and 4,534.01

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Solution

The fourth proportional to 14,393.96, 21,591.71 and 4,534.01 is: 6,801.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,393.96 : 21,591.71 = 4,534.01 : x
  2. Step 2: Convert to fraction form
    14,393.96/21,591.71 = 4,534.01/x
  3. Step 3: Cross multiply
    14,393.96x = 21,591.71 × 4,534.01
  4. Step 4: Simplify right side
    14,393.96x = 97,897,029.06
  5. Step 5: Solve for x
    x = 97,897,029.06/14,393.96
  6. Step 6: Final answer
    x = 6,801.26

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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.