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Finding the Fourth Proportional to 19,788.16, 29,682.20 and 4,997

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Solution

The fourth proportional to 19,788.16, 29,682.20 and 4,997 is: 7,495.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,788.16 : 29,682.20 = 4,997 : x
  2. Step 2: Convert to fraction form
    19,788.16/29,682.20 = 4,997/x
  3. Step 3: Cross multiply
    19,788.16x = 29,682.20 × 4,997
  4. Step 4: Simplify right side
    19,788.16x = 148,321,953.40
  5. Step 5: Solve for x
    x = 148,321,953.40/19,788.16
  6. Step 6: Final answer
    x = 7,495.49

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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.