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Finding the Fourth Proportional to 19,701.45, 29,526.53 and 8,001

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Solution

The fourth proportional to 19,701.45, 29,526.53 and 8,001 is: 11,991.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,701.45 : 29,526.53 = 8,001 : x
  2. Step 2: Convert to fraction form
    19,701.45/29,526.53 = 8,001/x
  3. Step 3: Cross multiply
    19,701.45x = 29,526.53 × 8,001
  4. Step 4: Simplify right side
    19,701.45x = 236,241,726.53
  5. Step 5: Solve for x
    x = 236,241,726.53/19,701.45
  6. Step 6: Final answer
    x = 11,991.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.