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Finding the Fourth Proportional to 13,991.01, 19,307.56 and 7,703.38

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Solution

The fourth proportional to 13,991.01, 19,307.56 and 7,703.38 is: 10,630.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,991.01 : 19,307.56 = 7,703.38 : x
  2. Step 2: Convert to fraction form
    13,991.01/19,307.56 = 7,703.38/x
  3. Step 3: Cross multiply
    13,991.01x = 19,307.56 × 7,703.38
  4. Step 4: Simplify right side
    13,991.01x = 148,733,471.55
  5. Step 5: Solve for x
    x = 148,733,471.55/13,991.01
  6. Step 6: Final answer
    x = 10,630.65

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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.