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Finding the Fourth Proportional to 16,504.98, 24,763.95 and 7,264.50

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Solution

The fourth proportional to 16,504.98, 24,763.95 and 7,264.50 is: 10,899.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,504.98 : 24,763.95 = 7,264.50 : x
  2. Step 2: Convert to fraction form
    16,504.98/24,763.95 = 7,264.50/x
  3. Step 3: Cross multiply
    16,504.98x = 24,763.95 × 7,264.50
  4. Step 4: Simplify right side
    16,504.98x = 179,897,714.78
  5. Step 5: Solve for x
    x = 179,897,714.78/16,504.98
  6. Step 6: Final answer
    x = 10,899.60

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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.