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Finding the Fourth Proportional to 16,365.38, 24,547.89 and 6,997.46

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Solution

The fourth proportional to 16,365.38, 24,547.89 and 6,997.46 is: 10,496.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,365.38 : 24,547.89 = 6,997.46 : x
  2. Step 2: Convert to fraction form
    16,365.38/24,547.89 = 6,997.46/x
  3. Step 3: Cross multiply
    16,365.38x = 24,547.89 × 6,997.46
  4. Step 4: Simplify right side
    16,365.38x = 171,772,878.36
  5. Step 5: Solve for x
    x = 171,772,878.36/16,365.38
  6. Step 6: Final answer
    x = 10,496.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.