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Finding the Fourth Proportional to 12,004.61, 16,559.66 and 9,314.60

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Solution

The fourth proportional to 12,004.61, 16,559.66 and 9,314.60 is: 12,848.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004.61 : 16,559.66 = 9,314.60 : x
  2. Step 2: Convert to fraction form
    12,004.61/16,559.66 = 9,314.60/x
  3. Step 3: Cross multiply
    12,004.61x = 16,559.66 × 9,314.60
  4. Step 4: Simplify right side
    12,004.61x = 154,246,562.46
  5. Step 5: Solve for x
    x = 154,246,562.46/12,004.61
  6. Step 6: Final answer
    x = 12,848.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.