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Finding the Fourth Proportional to 24,359.63, 36,540.47 and 7,719.29

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Solution

The fourth proportional to 24,359.63, 36,540.47 and 7,719.29 is: 11,579.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,359.63 : 36,540.47 = 7,719.29 : x
  2. Step 2: Convert to fraction form
    24,359.63/36,540.47 = 7,719.29/x
  3. Step 3: Cross multiply
    24,359.63x = 36,540.47 × 7,719.29
  4. Step 4: Simplify right side
    24,359.63x = 282,066,484.67
  5. Step 5: Solve for x
    x = 282,066,484.67/24,359.63
  6. Step 6: Final answer
    x = 11,579.26

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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.