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Finding the Fourth Proportional to 12,052.74, 18,047.66 and 9,699.89

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Solution

The fourth proportional to 12,052.74, 18,047.66 and 9,699.89 is: 14,524.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,052.74 : 18,047.66 = 9,699.89 : x
  2. Step 2: Convert to fraction form
    12,052.74/18,047.66 = 9,699.89/x
  3. Step 3: Cross multiply
    12,052.74x = 18,047.66 × 9,699.89
  4. Step 4: Simplify right side
    12,052.74x = 175,060,178.02
  5. Step 5: Solve for x
    x = 175,060,178.02/12,052.74
  6. Step 6: Final answer
    x = 14,524.52

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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.