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Finding the Fourth Proportional to 15,677.58, 23,497.83 and 6,894.12

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Solution

The fourth proportional to 15,677.58, 23,497.83 and 6,894.12 is: 10,333.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,677.58 : 23,497.83 = 6,894.12 : x
  2. Step 2: Convert to fraction form
    15,677.58/23,497.83 = 6,894.12/x
  3. Step 3: Cross multiply
    15,677.58x = 23,497.83 × 6,894.12
  4. Step 4: Simplify right side
    15,677.58x = 161,996,859.76
  5. Step 5: Solve for x
    x = 161,996,859.76/15,677.58
  6. Step 6: Final answer
    x = 10,333.03

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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.