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Finding the Fourth Proportional to 23,654.58, 35,478.63 and 13,798.50

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Solution

The fourth proportional to 23,654.58, 35,478.63 and 13,798.50 is: 20,695.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,654.58 : 35,478.63 = 13,798.50 : x
  2. Step 2: Convert to fraction form
    23,654.58/35,478.63 = 13,798.50/x
  3. Step 3: Cross multiply
    23,654.58x = 35,478.63 × 13,798.50
  4. Step 4: Simplify right side
    23,654.58x = 489,551,876.06
  5. Step 5: Solve for x
    x = 489,551,876.06/23,654.58
  6. Step 6: Final answer
    x = 20,695.86

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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.