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Finding the Fourth Proportional to 13,006.51, 19,510.58 and 5,214.31

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Solution

The fourth proportional to 13,006.51, 19,510.58 and 5,214.31 is: 7,821.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.51 : 19,510.58 = 5,214.31 : x
  2. Step 2: Convert to fraction form
    13,006.51/19,510.58 = 5,214.31/x
  3. Step 3: Cross multiply
    13,006.51x = 19,510.58 × 5,214.31
  4. Step 4: Simplify right side
    13,006.51x = 101,734,212.40
  5. Step 5: Solve for x
    x = 101,734,212.40/13,006.51
  6. Step 6: Final answer
    x = 7,821.79

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