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Finding the Fourth Proportional to 24,128.64, 36,192.96 and 11,808

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Solution

The fourth proportional to 24,128.64, 36,192.96 and 11,808 is: 17,712

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,128.64 : 36,192.96 = 11,808 : x
  2. Step 2: Convert to fraction form
    24,128.64/36,192.96 = 11,808/x
  3. Step 3: Cross multiply
    24,128.64x = 36,192.96 × 11,808
  4. Step 4: Simplify right side
    24,128.64x = 427,366,471.68
  5. Step 5: Solve for x
    x = 427,366,471.68/24,128.64
  6. Step 6: Final answer
    x = 17,712

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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.