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Finding the Fourth Proportional to 26,384.78, 36,411.10 and 14,448.02

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Solution

The fourth proportional to 26,384.78, 36,411.10 and 14,448.02 is: 19,938.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,384.78 : 36,411.10 = 14,448.02 : x
  2. Step 2: Convert to fraction form
    26,384.78/36,411.10 = 14,448.02/x
  3. Step 3: Cross multiply
    26,384.78x = 36,411.10 × 14,448.02
  4. Step 4: Simplify right side
    26,384.78x = 526,068,082.85
  5. Step 5: Solve for x
    x = 526,068,082.85/26,384.78
  6. Step 6: Final answer
    x = 19,938.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.