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Finding the Fourth Proportional to 20,587.08, 30,880.62 and 9,490.50

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Solution

The fourth proportional to 20,587.08, 30,880.62 and 9,490.50 is: 14,235.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,587.08 : 30,880.62 = 9,490.50 : x
  2. Step 2: Convert to fraction form
    20,587.08/30,880.62 = 9,490.50/x
  3. Step 3: Cross multiply
    20,587.08x = 30,880.62 × 9,490.50
  4. Step 4: Simplify right side
    20,587.08x = 293,072,524.11
  5. Step 5: Solve for x
    x = 293,072,524.11/20,587.08
  6. Step 6: Final answer
    x = 14,235.75

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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.