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Finding the Fourth Proportional to 13,866.40, 19,135.63 and 7,578.77

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Solution

The fourth proportional to 13,866.40, 19,135.63 and 7,578.77 is: 10,458.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.40 : 19,135.63 = 7,578.77 : x
  2. Step 2: Convert to fraction form
    13,866.40/19,135.63 = 7,578.77/x
  3. Step 3: Cross multiply
    13,866.40x = 19,135.63 × 7,578.77
  4. Step 4: Simplify right side
    13,866.40x = 145,024,567.47
  5. Step 5: Solve for x
    x = 145,024,567.47/13,866.40
  6. Step 6: Final answer
    x = 10,458.71

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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.