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Finding the Fourth Proportional to 13,801.57, 19,046.16 and 7,513.94

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Solution

The fourth proportional to 13,801.57, 19,046.16 and 7,513.94 is: 10,369.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.57 : 19,046.16 = 7,513.94 : x
  2. Step 2: Convert to fraction form
    13,801.57/19,046.16 = 7,513.94/x
  3. Step 3: Cross multiply
    13,801.57x = 19,046.16 × 7,513.94
  4. Step 4: Simplify right side
    13,801.57x = 143,111,703.47
  5. Step 5: Solve for x
    x = 143,111,703.47/13,801.57
  6. Step 6: Final answer
    x = 10,369.24

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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.