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Finding the Fourth Proportional to 12,002.19, 16,555.74 and 7,746.57

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Solution

The fourth proportional to 12,002.19, 16,555.74 and 7,746.57 is: 10,685.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.19 : 16,555.74 = 7,746.57 : x
  2. Step 2: Convert to fraction form
    12,002.19/16,555.74 = 7,746.57/x
  3. Step 3: Cross multiply
    12,002.19x = 16,555.74 × 7,746.57
  4. Step 4: Simplify right side
    12,002.19x = 128,250,198.81
  5. Step 5: Solve for x
    x = 128,250,198.81/12,002.19
  6. Step 6: Final answer
    x = 10,685.57

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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.