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Finding the Fourth Proportional to 20,304.62, 30,483.45 and 16,304.14

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Solution

The fourth proportional to 20,304.62, 30,483.45 and 16,304.14 is: 24,477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,304.62 : 30,483.45 = 16,304.14 : x
  2. Step 2: Convert to fraction form
    20,304.62/30,483.45 = 16,304.14/x
  3. Step 3: Cross multiply
    20,304.62x = 30,483.45 × 16,304.14
  4. Step 4: Simplify right side
    20,304.62x = 497,006,284.07
  5. Step 5: Solve for x
    x = 497,006,284.07/20,304.62
  6. Step 6: Final answer
    x = 24,477.50

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Why These Related Problems?

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