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Finding the Fourth Proportional to 13,792.01, 19,032.85 and 7,504.38

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Solution

The fourth proportional to 13,792.01, 19,032.85 and 7,504.38 is: 10,355.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.01 : 19,032.85 = 7,504.38 : x
  2. Step 2: Convert to fraction form
    13,792.01/19,032.85 = 7,504.38/x
  3. Step 3: Cross multiply
    13,792.01x = 19,032.85 × 7,504.38
  4. Step 4: Simplify right side
    13,792.01x = 142,829,738.88
  5. Step 5: Solve for x
    x = 142,829,738.88/13,792.01
  6. Step 6: Final answer
    x = 10,355.98

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Why These Related Problems?

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