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Finding the Fourth Proportional to 13,987.16, 19,302.78 and 7,700.12

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Solution

The fourth proportional to 13,987.16, 19,302.78 and 7,700.12 is: 10,626.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,987.16 : 19,302.78 = 7,700.12 : x
  2. Step 2: Convert to fraction form
    13,987.16/19,302.78 = 7,700.12/x
  3. Step 3: Cross multiply
    13,987.16x = 19,302.78 × 7,700.12
  4. Step 4: Simplify right side
    13,987.16x = 148,633,722.33
  5. Step 5: Solve for x
    x = 148,633,722.33/13,987.16
  6. Step 6: Final answer
    x = 10,626.44

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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.