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Finding the Fourth Proportional to 24,135.83, 36,208.58 and 8,341.43

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Solution

The fourth proportional to 24,135.83, 36,208.58 and 8,341.43 is: 12,513.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,135.83 : 36,208.58 = 8,341.43 : x
  2. Step 2: Convert to fraction form
    24,135.83/36,208.58 = 8,341.43/x
  3. Step 3: Cross multiply
    24,135.83x = 36,208.58 × 8,341.43
  4. Step 4: Simplify right side
    24,135.83x = 302,031,384.28
  5. Step 5: Solve for x
    x = 302,031,384.28/24,135.83
  6. Step 6: Final answer
    x = 12,513.82

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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.