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Finding the Fourth Proportional to 20,312.84, 30,468.94 and 14,801.16

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Solution

The fourth proportional to 20,312.84, 30,468.94 and 14,801.16 is: 22,201.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,312.84 : 30,468.94 = 14,801.16 : x
  2. Step 2: Convert to fraction form
    20,312.84/30,468.94 = 14,801.16/x
  3. Step 3: Cross multiply
    20,312.84x = 30,468.94 × 14,801.16
  4. Step 4: Simplify right side
    20,312.84x = 450,975,655.97
  5. Step 5: Solve for x
    x = 450,975,655.97/20,312.84
  6. Step 6: Final answer
    x = 22,201.51

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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.