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Finding the Fourth Proportional to 13,772.77, 19,006.57 and 7,485.14

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Solution

The fourth proportional to 13,772.77, 19,006.57 and 7,485.14 is: 10,329.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.77 : 19,006.57 = 7,485.14 : x
  2. Step 2: Convert to fraction form
    13,772.77/19,006.57 = 7,485.14/x
  3. Step 3: Cross multiply
    13,772.77x = 19,006.57 × 7,485.14
  4. Step 4: Simplify right side
    13,772.77x = 142,266,866.17
  5. Step 5: Solve for x
    x = 142,266,866.17/13,772.77
  6. Step 6: Final answer
    x = 10,329.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.