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Finding the Fourth Proportional to 12,002.58, 16,544.61 and 8,460.18

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Solution

The fourth proportional to 12,002.58, 16,544.61 and 8,460.18 is: 11,661.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.58 : 16,544.61 = 8,460.18 : x
  2. Step 2: Convert to fraction form
    12,002.58/16,544.61 = 8,460.18/x
  3. Step 3: Cross multiply
    12,002.58x = 16,544.61 × 8,460.18
  4. Step 4: Simplify right side
    12,002.58x = 139,970,378.63
  5. Step 5: Solve for x
    x = 139,970,378.63/12,002.58
  6. Step 6: Final answer
    x = 11,661.69

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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.