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Finding the Fourth Proportional to 12,402.50, 18,580.64 and 6,155.40

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Solution

The fourth proportional to 12,402.50, 18,580.64 and 6,155.40 is: 9,221.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.50 : 18,580.64 = 6,155.40 : x
  2. Step 2: Convert to fraction form
    12,402.50/18,580.64 = 6,155.40/x
  3. Step 3: Cross multiply
    12,402.50x = 18,580.64 × 6,155.40
  4. Step 4: Simplify right side
    12,402.50x = 114,371,271.46
  5. Step 5: Solve for x
    x = 114,371,271.46/12,402.50
  6. Step 6: Final answer
    x = 9,221.63

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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.