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Finding the Fourth Proportional to 16,435.06, 22,677.42 and 9,717.32

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Solution

The fourth proportional to 16,435.06, 22,677.42 and 9,717.32 is: 13,408.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,435.06 : 22,677.42 = 9,717.32 : x
  2. Step 2: Convert to fraction form
    16,435.06/22,677.42 = 9,717.32/x
  3. Step 3: Cross multiply
    16,435.06x = 22,677.42 × 9,717.32
  4. Step 4: Simplify right side
    16,435.06x = 220,363,746.91
  5. Step 5: Solve for x
    x = 220,363,746.91/16,435.06
  6. Step 6: Final answer
    x = 13,408.15

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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.