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Finding the Fourth Proportional to 14,088.52, 19,442.82 and 7,801

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Solution

The fourth proportional to 14,088.52, 19,442.82 and 7,801 is: 10,765.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,088.52 : 19,442.82 = 7,801 : x
  2. Step 2: Convert to fraction form
    14,088.52/19,442.82 = 7,801/x
  3. Step 3: Cross multiply
    14,088.52x = 19,442.82 × 7,801
  4. Step 4: Simplify right side
    14,088.52x = 151,673,438.82
  5. Step 5: Solve for x
    x = 151,673,438.82/14,088.52
  6. Step 6: Final answer
    x = 10,765.75

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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.