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Finding the Fourth Proportional to 12,385.84, 17,096.90 and 7,350.06

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Solution

The fourth proportional to 12,385.84, 17,096.90 and 7,350.06 is: 10,145.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385.84 : 17,096.90 = 7,350.06 : x
  2. Step 2: Convert to fraction form
    12,385.84/17,096.90 = 7,350.06/x
  3. Step 3: Cross multiply
    12,385.84x = 17,096.90 × 7,350.06
  4. Step 4: Simplify right side
    12,385.84x = 125,663,244.16
  5. Step 5: Solve for x
    x = 125,663,244.16/12,385.84
  6. Step 6: Final answer
    x = 10,145.72

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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.