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Finding the Fourth Proportional to 14,235.78, 19,638.72 and 9,201.60

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Solution

The fourth proportional to 14,235.78, 19,638.72 and 9,201.60 is: 12,693.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,235.78 : 19,638.72 = 9,201.60 : x
  2. Step 2: Convert to fraction form
    14,235.78/19,638.72 = 9,201.60/x
  3. Step 3: Cross multiply
    14,235.78x = 19,638.72 × 9,201.60
  4. Step 4: Simplify right side
    14,235.78x = 180,707,645.95
  5. Step 5: Solve for x
    x = 180,707,645.95/14,235.78
  6. Step 6: Final answer
    x = 12,693.91

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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.