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Finding the Fourth Proportional to 16,184.75, 22,341.22 and 12,649.10

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Solution

The fourth proportional to 16,184.75, 22,341.22 and 12,649.10 is: 17,460.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,184.75 : 22,341.22 = 12,649.10 : x
  2. Step 2: Convert to fraction form
    16,184.75/22,341.22 = 12,649.10/x
  3. Step 3: Cross multiply
    16,184.75x = 22,341.22 × 12,649.10
  4. Step 4: Simplify right side
    16,184.75x = 282,596,182.57
  5. Step 5: Solve for x
    x = 282,596,182.57/16,184.75
  6. Step 6: Final answer
    x = 17,460.65

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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.