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Finding the Fourth Proportional to 13,988.57, 19,304.19 and 7,700.94

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Solution

The fourth proportional to 13,988.57, 19,304.19 and 7,700.94 is: 10,627.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,988.57 : 19,304.19 = 7,700.94 : x
  2. Step 2: Convert to fraction form
    13,988.57/19,304.19 = 7,700.94/x
  3. Step 3: Cross multiply
    13,988.57x = 19,304.19 × 7,700.94
  4. Step 4: Simplify right side
    13,988.57x = 148,660,408.94
  5. Step 5: Solve for x
    x = 148,660,408.94/13,988.57
  6. Step 6: Final answer
    x = 10,627.28

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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.