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Finding the Fourth Proportional to 17,770.18, 24,513.15 and 12,384.10

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Solution

The fourth proportional to 17,770.18, 24,513.15 and 12,384.10 is: 17,083.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770.18 : 24,513.15 = 12,384.10 : x
  2. Step 2: Convert to fraction form
    17,770.18/24,513.15 = 12,384.10/x
  3. Step 3: Cross multiply
    17,770.18x = 24,513.15 × 12,384.10
  4. Step 4: Simplify right side
    17,770.18x = 303,573,300.92
  5. Step 5: Solve for x
    x = 303,573,300.92/17,770.18
  6. Step 6: Final answer
    x = 17,083.30

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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.