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Finding the Fourth Proportional to 19,643.94, 29,442.49 and 13,688.58

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Solution

The fourth proportional to 19,643.94, 29,442.49 and 13,688.58 is: 20,516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,643.94 : 29,442.49 = 13,688.58 : x
  2. Step 2: Convert to fraction form
    19,643.94/29,442.49 = 13,688.58/x
  3. Step 3: Cross multiply
    19,643.94x = 29,442.49 × 13,688.58
  4. Step 4: Simplify right side
    19,643.94x = 403,025,879.76
  5. Step 5: Solve for x
    x = 403,025,879.76/19,643.94
  6. Step 6: Final answer
    x = 20,516.55

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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.