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Finding the Fourth Proportional to 16,364.88, 24,547.14 and 6,996.96

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Solution

The fourth proportional to 16,364.88, 24,547.14 and 6,996.96 is: 10,495.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,364.88 : 24,547.14 = 6,996.96 : x
  2. Step 2: Convert to fraction form
    16,364.88/24,547.14 = 6,996.96/x
  3. Step 3: Cross multiply
    16,364.88x = 24,547.14 × 6,996.96
  4. Step 4: Simplify right side
    16,364.88x = 171,755,356.69
  5. Step 5: Solve for x
    x = 171,755,356.69/16,364.88
  6. Step 6: Final answer
    x = 10,495.36

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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.