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Finding the Fourth Proportional to 14,170.52, 21,261.72 and 7,157

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Solution

The fourth proportional to 14,170.52, 21,261.72 and 7,157 is: 10,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,170.52 : 21,261.72 = 7,157 : x
  2. Step 2: Convert to fraction form
    14,170.52/21,261.72 = 7,157/x
  3. Step 3: Cross multiply
    14,170.52x = 21,261.72 × 7,157
  4. Step 4: Simplify right side
    14,170.52x = 152,170,130.04
  5. Step 5: Solve for x
    x = 152,170,130.04/14,170.52
  6. Step 6: Final answer
    x = 10,738.50

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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.