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Finding the Fourth Proportional to 13,000.16, 17,937.60 and 7,695.68

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Solution

The fourth proportional to 13,000.16, 17,937.60 and 7,695.68 is: 10,618.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.16 : 17,937.60 = 7,695.68 : x
  2. Step 2: Convert to fraction form
    13,000.16/17,937.60 = 7,695.68/x
  3. Step 3: Cross multiply
    13,000.16x = 17,937.60 × 7,695.68
  4. Step 4: Simplify right side
    13,000.16x = 138,042,029.57
  5. Step 5: Solve for x
    x = 138,042,029.57/13,000.16
  6. Step 6: Final answer
    x = 10,618.49

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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.