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Finding the Fourth Proportional to 16,412.74, 22,649.69 and 9,339.16

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Solution

The fourth proportional to 16,412.74, 22,649.69 and 9,339.16 is: 12,888.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.74 : 22,649.69 = 9,339.16 : x
  2. Step 2: Convert to fraction form
    16,412.74/22,649.69 = 9,339.16/x
  3. Step 3: Cross multiply
    16,412.74x = 22,649.69 × 9,339.16
  4. Step 4: Simplify right side
    16,412.74x = 211,529,078.86
  5. Step 5: Solve for x
    x = 211,529,078.86/16,412.74
  6. Step 6: Final answer
    x = 12,888.10

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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.