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Finding the Fourth Proportional to 26,522.61, 39,782.88 and 8,992.47

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Solution

The fourth proportional to 26,522.61, 39,782.88 and 8,992.47 is: 13,488.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,522.61 : 39,782.88 = 8,992.47 : x
  2. Step 2: Convert to fraction form
    26,522.61/39,782.88 = 8,992.47/x
  3. Step 3: Cross multiply
    26,522.61x = 39,782.88 × 8,992.47
  4. Step 4: Simplify right side
    26,522.61x = 357,746,354.91
  5. Step 5: Solve for x
    x = 357,746,354.91/26,522.61
  6. Step 6: Final answer
    x = 13,488.35

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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.