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Finding the Fourth Proportional to 19,392.66, 29,097.63 and 10,156.50

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Solution

The fourth proportional to 19,392.66, 29,097.63 and 10,156.50 is: 15,239.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,392.66 : 29,097.63 = 10,156.50 : x
  2. Step 2: Convert to fraction form
    19,392.66/29,097.63 = 10,156.50/x
  3. Step 3: Cross multiply
    19,392.66x = 29,097.63 × 10,156.50
  4. Step 4: Simplify right side
    19,392.66x = 295,530,079.10
  5. Step 5: Solve for x
    x = 295,530,079.10/19,392.66
  6. Step 6: Final answer
    x = 15,239.28

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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.