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Finding the Fourth Proportional to 12,006.78, 17,985.69 and 9,793.50

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Solution

The fourth proportional to 12,006.78, 17,985.69 and 9,793.50 is: 14,670.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.78 : 17,985.69 = 9,793.50 : x
  2. Step 2: Convert to fraction form
    12,006.78/17,985.69 = 9,793.50/x
  3. Step 3: Cross multiply
    12,006.78x = 17,985.69 × 9,793.50
  4. Step 4: Simplify right side
    12,006.78x = 176,142,855.02
  5. Step 5: Solve for x
    x = 176,142,855.02/12,006.78
  6. Step 6: Final answer
    x = 14,670.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.