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Finding the Fourth Proportional to 13,051.71, 19,577.58 and 3,190.99

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Solution

The fourth proportional to 13,051.71, 19,577.58 and 3,190.99 is: 4,786.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,051.71 : 19,577.58 = 3,190.99 : x
  2. Step 2: Convert to fraction form
    13,051.71/19,577.58 = 3,190.99/x
  3. Step 3: Cross multiply
    13,051.71x = 19,577.58 × 3,190.99
  4. Step 4: Simplify right side
    13,051.71x = 62,471,862.00
  5. Step 5: Solve for x
    x = 62,471,862.00/13,051.71
  6. Step 6: Final answer
    x = 4,786.49

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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.