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Finding the Fourth Proportional to 20,973.64, 31,363.24 and 16,240

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Solution

The fourth proportional to 20,973.64, 31,363.24 and 16,240 is: 24,284.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,973.64 : 31,363.24 = 16,240 : x
  2. Step 2: Convert to fraction form
    20,973.64/31,363.24 = 16,240/x
  3. Step 3: Cross multiply
    20,973.64x = 31,363.24 × 16,240
  4. Step 4: Simplify right side
    20,973.64x = 509,339,017.60
  5. Step 5: Solve for x
    x = 509,339,017.60/20,973.64
  6. Step 6: Final answer
    x = 24,284.72

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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.