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Finding the Fourth Proportional to 16,547.67, 22,835.76 and 8,993.99

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Solution

The fourth proportional to 16,547.67, 22,835.76 and 8,993.99 is: 12,411.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.67 : 22,835.76 = 8,993.99 : x
  2. Step 2: Convert to fraction form
    16,547.67/22,835.76 = 8,993.99/x
  3. Step 3: Cross multiply
    16,547.67x = 22,835.76 × 8,993.99
  4. Step 4: Simplify right side
    16,547.67x = 205,384,482.90
  5. Step 5: Solve for x
    x = 205,384,482.90/16,547.67
  6. Step 6: Final answer
    x = 12,411.69

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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.