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Finding the Fourth Proportional to 24,140.45, 36,203.76 and 8,341.35

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Solution

The fourth proportional to 24,140.45, 36,203.76 and 8,341.35 is: 12,509.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,140.45 : 36,203.76 = 8,341.35 : x
  2. Step 2: Convert to fraction form
    24,140.45/36,203.76 = 8,341.35/x
  3. Step 3: Cross multiply
    24,140.45x = 36,203.76 × 8,341.35
  4. Step 4: Simplify right side
    24,140.45x = 301,988,233.48
  5. Step 5: Solve for x
    x = 301,988,233.48/24,140.45
  6. Step 6: Final answer
    x = 12,509.64

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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.