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Finding the Fourth Proportional to 16,499.88, 24,751.26 and 7,730.10

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Solution

The fourth proportional to 16,499.88, 24,751.26 and 7,730.10 is: 11,595.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,499.88 : 24,751.26 = 7,730.10 : x
  2. Step 2: Convert to fraction form
    16,499.88/24,751.26 = 7,730.10/x
  3. Step 3: Cross multiply
    16,499.88x = 24,751.26 × 7,730.10
  4. Step 4: Simplify right side
    16,499.88x = 191,329,714.93
  5. Step 5: Solve for x
    x = 191,329,714.93/16,499.88
  6. Step 6: Final answer
    x = 11,595.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.