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Finding the Fourth Proportional to 15,185.34, 22,779.09 and 4,797

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Solution

The fourth proportional to 15,185.34, 22,779.09 and 4,797 is: 7,195.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,185.34 : 22,779.09 = 4,797 : x
  2. Step 2: Convert to fraction form
    15,185.34/22,779.09 = 4,797/x
  3. Step 3: Cross multiply
    15,185.34x = 22,779.09 × 4,797
  4. Step 4: Simplify right side
    15,185.34x = 109,271,294.73
  5. Step 5: Solve for x
    x = 109,271,294.73/15,185.34
  6. Step 6: Final answer
    x = 7,195.84

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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.