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Finding the Fourth Proportional to 19,836.47, 29,765.98 and 7,365.10

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Solution

The fourth proportional to 19,836.47, 29,765.98 and 7,365.10 is: 11,051.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,836.47 : 29,765.98 = 7,365.10 : x
  2. Step 2: Convert to fraction form
    19,836.47/29,765.98 = 7,365.10/x
  3. Step 3: Cross multiply
    19,836.47x = 29,765.98 × 7,365.10
  4. Step 4: Simplify right side
    19,836.47x = 219,229,419.30
  5. Step 5: Solve for x
    x = 219,229,419.30/19,836.47
  6. Step 6: Final answer
    x = 11,051.84

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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.