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Finding the Fourth Proportional to 14,197.01, 21,301.66 and 7,615.50

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Solution

The fourth proportional to 14,197.01, 21,301.66 and 7,615.50 is: 11,426.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197.01 : 21,301.66 = 7,615.50 : x
  2. Step 2: Convert to fraction form
    14,197.01/21,301.66 = 7,615.50/x
  3. Step 3: Cross multiply
    14,197.01x = 21,301.66 × 7,615.50
  4. Step 4: Simplify right side
    14,197.01x = 162,222,901.10
  5. Step 5: Solve for x
    x = 162,222,901.10/14,197.01
  6. Step 6: Final answer
    x = 11,426.56

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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.