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Finding the Fourth Proportional to 16,582.86, 24,861.86 and 10,007.50

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Solution

The fourth proportional to 16,582.86, 24,861.86 and 10,007.50 is: 15,003.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582.86 : 24,861.86 = 10,007.50 : x
  2. Step 2: Convert to fraction form
    16,582.86/24,861.86 = 10,007.50/x
  3. Step 3: Cross multiply
    16,582.86x = 24,861.86 × 10,007.50
  4. Step 4: Simplify right side
    16,582.86x = 248,805,063.95
  5. Step 5: Solve for x
    x = 248,805,063.95/16,582.86
  6. Step 6: Final answer
    x = 15,003.75

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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.