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Finding the Fourth Proportional to 16,547.33, 22,829.82 and 9,376.57

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Solution

The fourth proportional to 16,547.33, 22,829.82 and 9,376.57 is: 12,936.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.33 : 22,829.82 = 9,376.57 : x
  2. Step 2: Convert to fraction form
    16,547.33/22,829.82 = 9,376.57/x
  3. Step 3: Cross multiply
    16,547.33x = 22,829.82 × 9,376.57
  4. Step 4: Simplify right side
    16,547.33x = 214,065,398.69
  5. Step 5: Solve for x
    x = 214,065,398.69/16,547.33
  6. Step 6: Final answer
    x = 12,936.55

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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.