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Finding the Fourth Proportional to 24,215.88, 36,326.16 and 9,426

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Solution

The fourth proportional to 24,215.88, 36,326.16 and 9,426 is: 14,139.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,215.88 : 36,326.16 = 9,426 : x
  2. Step 2: Convert to fraction form
    24,215.88/36,326.16 = 9,426/x
  3. Step 3: Cross multiply
    24,215.88x = 36,326.16 × 9,426
  4. Step 4: Simplify right side
    24,215.88x = 342,410,384.16
  5. Step 5: Solve for x
    x = 342,410,384.16/24,215.88
  6. Step 6: Final answer
    x = 14,139.91

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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.