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Finding the Fourth Proportional to 12,322.79, 17,005.46 and 6,657.54

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Solution

The fourth proportional to 12,322.79, 17,005.46 and 6,657.54 is: 9,187.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.79 : 17,005.46 = 6,657.54 : x
  2. Step 2: Convert to fraction form
    12,322.79/17,005.46 = 6,657.54/x
  3. Step 3: Cross multiply
    12,322.79x = 17,005.46 × 6,657.54
  4. Step 4: Simplify right side
    12,322.79x = 113,214,411.85
  5. Step 5: Solve for x
    x = 113,214,411.85/12,322.79
  6. Step 6: Final answer
    x = 9,187.40

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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.