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Finding the Fourth Proportional to 13,989, 19,304.82 and 7,701.24

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Solution

The fourth proportional to 13,989, 19,304.82 and 7,701.24 is: 10,627.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,989 : 19,304.82 = 7,701.24 : x
  2. Step 2: Convert to fraction form
    13,989/19,304.82 = 7,701.24/x
  3. Step 3: Cross multiply
    13,989x = 19,304.82 × 7,701.24
  4. Step 4: Simplify right side
    13,989x = 148,671,051.98
  5. Step 5: Solve for x
    x = 148,671,051.98/13,989
  6. Step 6: Final answer
    x = 10,627.71

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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.