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Finding the Fourth Proportional to 13,988.68, 19,304.38 and 7,701

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Solution

The fourth proportional to 13,988.68, 19,304.38 and 7,701 is: 10,627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,988.68 : 19,304.38 = 7,701 : x
  2. Step 2: Convert to fraction form
    13,988.68/19,304.38 = 7,701/x
  3. Step 3: Cross multiply
    13,988.68x = 19,304.38 × 7,701
  4. Step 4: Simplify right side
    13,988.68x = 148,663,030.38
  5. Step 5: Solve for x
    x = 148,663,030.38/13,988.68
  6. Step 6: Final answer
    x = 10,627.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.