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Finding the Fourth Proportional to 19,671.88, 29,507.82 and 7,357

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Solution

The fourth proportional to 19,671.88, 29,507.82 and 7,357 is: 11,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,671.88 : 29,507.82 = 7,357 : x
  2. Step 2: Convert to fraction form
    19,671.88/29,507.82 = 7,357/x
  3. Step 3: Cross multiply
    19,671.88x = 29,507.82 × 7,357
  4. Step 4: Simplify right side
    19,671.88x = 217,089,031.74
  5. Step 5: Solve for x
    x = 217,089,031.74/19,671.88
  6. Step 6: Final answer
    x = 11,035.50

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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.