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Finding the Fourth Proportional to 15,508.96, 23,263.14 and 4,415.72

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Solution

The fourth proportional to 15,508.96, 23,263.14 and 4,415.72 is: 6,623.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,508.96 : 23,263.14 = 4,415.72 : x
  2. Step 2: Convert to fraction form
    15,508.96/23,263.14 = 4,415.72/x
  3. Step 3: Cross multiply
    15,508.96x = 23,263.14 × 4,415.72
  4. Step 4: Simplify right side
    15,508.96x = 102,723,512.56
  5. Step 5: Solve for x
    x = 102,723,512.56/15,508.96
  6. Step 6: Final answer
    x = 6,623.49

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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.