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Finding the Fourth Proportional to 13,772.15, 19,005.51 and 7,804.95

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Solution

The fourth proportional to 13,772.15, 19,005.51 and 7,804.95 is: 10,770.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.15 : 19,005.51 = 7,804.95 : x
  2. Step 2: Convert to fraction form
    13,772.15/19,005.51 = 7,804.95/x
  3. Step 3: Cross multiply
    13,772.15x = 19,005.51 × 7,804.95
  4. Step 4: Simplify right side
    13,772.15x = 148,337,013.27
  5. Step 5: Solve for x
    x = 148,337,013.27/13,772.15
  6. Step 6: Final answer
    x = 10,770.80

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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.