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Finding the Fourth Proportional to 13,035.42, 17,987.16 and 7,370.94

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Solution

The fourth proportional to 13,035.42, 17,987.16 and 7,370.94 is: 10,170.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,035.42 : 17,987.16 = 7,370.94 : x
  2. Step 2: Convert to fraction form
    13,035.42/17,987.16 = 7,370.94/x
  3. Step 3: Cross multiply
    13,035.42x = 17,987.16 × 7,370.94
  4. Step 4: Simplify right side
    13,035.42x = 132,582,277.13
  5. Step 5: Solve for x
    x = 132,582,277.13/13,035.42
  6. Step 6: Final answer
    x = 10,170.92

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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.