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Finding the Fourth Proportional to 19,400.16, 29,108.88 and 10,164

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Solution

The fourth proportional to 19,400.16, 29,108.88 and 10,164 is: 15,250.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,400.16 : 29,108.88 = 10,164 : x
  2. Step 2: Convert to fraction form
    19,400.16/29,108.88 = 10,164/x
  3. Step 3: Cross multiply
    19,400.16x = 29,108.88 × 10,164
  4. Step 4: Simplify right side
    19,400.16x = 295,862,656.32
  5. Step 5: Solve for x
    x = 295,862,656.32/19,400.16
  6. Step 6: Final answer
    x = 15,250.53

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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.