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Finding the Fourth Proportional to 15,178.34, 22,764.64 and 4,645.50

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Solution

The fourth proportional to 15,178.34, 22,764.64 and 4,645.50 is: 6,967.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,178.34 : 22,764.64 = 4,645.50 : x
  2. Step 2: Convert to fraction form
    15,178.34/22,764.64 = 4,645.50/x
  3. Step 3: Cross multiply
    15,178.34x = 22,764.64 × 4,645.50
  4. Step 4: Simplify right side
    15,178.34x = 105,753,135.12
  5. Step 5: Solve for x
    x = 105,753,135.12/15,178.34
  6. Step 6: Final answer
    x = 6,967.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.