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Finding the Fourth Proportional to 16,642.86, 24,970.77 and 7,885.14

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Solution

The fourth proportional to 16,642.86, 24,970.77 and 7,885.14 is: 11,830.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.86 : 24,970.77 = 7,885.14 : x
  2. Step 2: Convert to fraction form
    16,642.86/24,970.77 = 7,885.14/x
  3. Step 3: Cross multiply
    16,642.86x = 24,970.77 × 7,885.14
  4. Step 4: Simplify right side
    16,642.86x = 196,898,017.36
  5. Step 5: Solve for x
    x = 196,898,017.36/16,642.86
  6. Step 6: Final answer
    x = 11,830.78

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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.