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Finding the Fourth Proportional to 13,830.34, 19,085.97 and 7,542.58

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Solution

The fourth proportional to 13,830.34, 19,085.97 and 7,542.58 is: 10,408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.34 : 19,085.97 = 7,542.58 : x
  2. Step 2: Convert to fraction form
    13,830.34/19,085.97 = 7,542.58/x
  3. Step 3: Cross multiply
    13,830.34x = 19,085.97 × 7,542.58
  4. Step 4: Simplify right side
    13,830.34x = 143,957,455.60
  5. Step 5: Solve for x
    x = 143,957,455.60/13,830.34
  6. Step 6: Final answer
    x = 10,408.82

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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.