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Finding the Fourth Proportional to 16,026.22, 22,117.75 and 8,953.10

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Solution

The fourth proportional to 16,026.22, 22,117.75 and 8,953.10 is: 12,356.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,026.22 : 22,117.75 = 8,953.10 : x
  2. Step 2: Convert to fraction form
    16,026.22/22,117.75 = 8,953.10/x
  3. Step 3: Cross multiply
    16,026.22x = 22,117.75 × 8,953.10
  4. Step 4: Simplify right side
    16,026.22x = 198,022,427.53
  5. Step 5: Solve for x
    x = 198,022,427.53/16,026.22
  6. Step 6: Final answer
    x = 12,356.15

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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.