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Finding the Fourth Proportional to 12,385.34, 18,582.76 and 7,458.50

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Solution

The fourth proportional to 12,385.34, 18,582.76 and 7,458.50 is: 11,190.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385.34 : 18,582.76 = 7,458.50 : x
  2. Step 2: Convert to fraction form
    12,385.34/18,582.76 = 7,458.50/x
  3. Step 3: Cross multiply
    12,385.34x = 18,582.76 × 7,458.50
  4. Step 4: Simplify right side
    12,385.34x = 138,599,515.46
  5. Step 5: Solve for x
    x = 138,599,515.46/12,385.34
  6. Step 6: Final answer
    x = 11,190.61

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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.