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Finding the Fourth Proportional to 14,076, 21,121.29 and 7,150.50

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Solution

The fourth proportional to 14,076, 21,121.29 and 7,150.50 is: 10,729.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,076 : 21,121.29 = 7,150.50 : x
  2. Step 2: Convert to fraction form
    14,076/21,121.29 = 7,150.50/x
  3. Step 3: Cross multiply
    14,076x = 21,121.29 × 7,150.50
  4. Step 4: Simplify right side
    14,076x = 151,027,784.15
  5. Step 5: Solve for x
    x = 151,027,784.15/14,076
  6. Step 6: Final answer
    x = 10,729.45

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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.