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Finding the Fourth Proportional to 19,392.16, 29,096.88 and 10,156

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Solution

The fourth proportional to 19,392.16, 29,096.88 and 10,156 is: 15,238.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,392.16 : 29,096.88 = 10,156 : x
  2. Step 2: Convert to fraction form
    19,392.16/29,096.88 = 10,156/x
  3. Step 3: Cross multiply
    19,392.16x = 29,096.88 × 10,156
  4. Step 4: Simplify right side
    19,392.16x = 295,507,913.28
  5. Step 5: Solve for x
    x = 295,507,913.28/19,392.16
  6. Step 6: Final answer
    x = 15,238.52

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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.