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Finding the Fourth Proportional to 26,440.61, 36,475.47 and 15,828.20

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Solution

The fourth proportional to 26,440.61, 36,475.47 and 15,828.20 is: 21,835.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,440.61 : 36,475.47 = 15,828.20 : x
  2. Step 2: Convert to fraction form
    26,440.61/36,475.47 = 15,828.20/x
  3. Step 3: Cross multiply
    26,440.61x = 36,475.47 × 15,828.20
  4. Step 4: Simplify right side
    26,440.61x = 577,340,851.88
  5. Step 5: Solve for x
    x = 577,340,851.88/26,440.61
  6. Step 6: Final answer
    x = 21,835.38

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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.