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Finding the Fourth Proportional to 13,000.13, 17,940.18 and 7,031.84

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Solution

The fourth proportional to 13,000.13, 17,940.18 and 7,031.84 is: 9,703.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.13 : 17,940.18 = 7,031.84 : x
  2. Step 2: Convert to fraction form
    13,000.13/17,940.18 = 7,031.84/x
  3. Step 3: Cross multiply
    13,000.13x = 17,940.18 × 7,031.84
  4. Step 4: Simplify right side
    13,000.13x = 126,152,440.17
  5. Step 5: Solve for x
    x = 126,152,440.17/13,000.13
  6. Step 6: Final answer
    x = 9,703.94

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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.