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Finding the Fourth Proportional to 15,748.86, 23,608.71 and 8,818.50

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Solution

The fourth proportional to 15,748.86, 23,608.71 and 8,818.50 is: 13,219.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,748.86 : 23,608.71 = 8,818.50 : x
  2. Step 2: Convert to fraction form
    15,748.86/23,608.71 = 8,818.50/x
  3. Step 3: Cross multiply
    15,748.86x = 23,608.71 × 8,818.50
  4. Step 4: Simplify right side
    15,748.86x = 208,193,409.14
  5. Step 5: Solve for x
    x = 208,193,409.14/15,748.86
  6. Step 6: Final answer
    x = 13,219.59

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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.