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Finding the Fourth Proportional to 23,886.50, 35,819.11 and 9,835.02

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Solution

The fourth proportional to 23,886.50, 35,819.11 and 9,835.02 is: 14,748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,886.50 : 35,819.11 = 9,835.02 : x
  2. Step 2: Convert to fraction form
    23,886.50/35,819.11 = 9,835.02/x
  3. Step 3: Cross multiply
    23,886.50x = 35,819.11 × 9,835.02
  4. Step 4: Simplify right side
    23,886.50x = 352,281,675.53
  5. Step 5: Solve for x
    x = 352,281,675.53/23,886.50
  6. Step 6: Final answer
    x = 14,748.15

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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.