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Finding the Fourth Proportional to 16,547.67, 22,835.96 and 8,994.13

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Solution

The fourth proportional to 16,547.67, 22,835.96 and 8,994.13 is: 12,411.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.67 : 22,835.96 = 8,994.13 : x
  2. Step 2: Convert to fraction form
    16,547.67/22,835.96 = 8,994.13/x
  3. Step 3: Cross multiply
    16,547.67x = 22,835.96 × 8,994.13
  4. Step 4: Simplify right side
    16,547.67x = 205,389,592.91
  5. Step 5: Solve for x
    x = 205,389,592.91/16,547.67
  6. Step 6: Final answer
    x = 12,411.99

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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.