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Finding the Fourth Proportional to 13,006.62, 19,529.37 and 7,750.53

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Solution

The fourth proportional to 13,006.62, 19,529.37 and 7,750.53 is: 11,637.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.62 : 19,529.37 = 7,750.53 : x
  2. Step 2: Convert to fraction form
    13,006.62/19,529.37 = 7,750.53/x
  3. Step 3: Cross multiply
    13,006.62x = 19,529.37 × 7,750.53
  4. Step 4: Simplify right side
    13,006.62x = 151,362,968.07
  5. Step 5: Solve for x
    x = 151,362,968.07/13,006.62
  6. Step 6: Final answer
    x = 11,637.38

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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.