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Finding the Fourth Proportional to 14,497.64, 21,745.78 and 5,137.51

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Solution

The fourth proportional to 14,497.64, 21,745.78 and 5,137.51 is: 7,706.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.64 : 21,745.78 = 5,137.51 : x
  2. Step 2: Convert to fraction form
    14,497.64/21,745.78 = 5,137.51/x
  3. Step 3: Cross multiply
    14,497.64x = 21,745.78 × 5,137.51
  4. Step 4: Simplify right side
    14,497.64x = 111,719,095.00
  5. Step 5: Solve for x
    x = 111,719,095.00/14,497.64
  6. Step 6: Final answer
    x = 7,706.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.