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Finding the Fourth Proportional to 12,002.53, 16,547.39 and 8,412.66

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Solution

The fourth proportional to 12,002.53, 16,547.39 and 8,412.66 is: 11,598.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.53 : 16,547.39 = 8,412.66 : x
  2. Step 2: Convert to fraction form
    12,002.53/16,547.39 = 8,412.66/x
  3. Step 3: Cross multiply
    12,002.53x = 16,547.39 × 8,412.66
  4. Step 4: Simplify right side
    12,002.53x = 139,207,555.44
  5. Step 5: Solve for x
    x = 139,207,555.44/12,002.53
  6. Step 6: Final answer
    x = 11,598.18

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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.