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Finding the Fourth Proportional to 13,991.42, 19,308.42 and 7,703.79

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Solution

The fourth proportional to 13,991.42, 19,308.42 and 7,703.79 is: 10,631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,991.42 : 19,308.42 = 7,703.79 : x
  2. Step 2: Convert to fraction form
    13,991.42/19,308.42 = 7,703.79/x
  3. Step 3: Cross multiply
    13,991.42x = 19,308.42 × 7,703.79
  4. Step 4: Simplify right side
    13,991.42x = 148,748,012.91
  5. Step 5: Solve for x
    x = 148,748,012.91/13,991.42
  6. Step 6: Final answer
    x = 10,631.38

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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.