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Finding the Fourth Proportional to 16,595.69, 24,899.00 and 7,829.46

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Solution

The fourth proportional to 16,595.69, 24,899.00 and 7,829.46 is: 11,746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,595.69 : 24,899.00 = 7,829.46 : x
  2. Step 2: Convert to fraction form
    16,595.69/24,899.00 = 7,829.46/x
  3. Step 3: Cross multiply
    16,595.69x = 24,899.00 × 7,829.46
  4. Step 4: Simplify right side
    16,595.69x = 194,945,685.39
  5. Step 5: Solve for x
    x = 194,945,685.39/16,595.69
  6. Step 6: Final answer
    x = 11,746.77

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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.