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Finding the Fourth Proportional to 16,389.76, 24,583.02 and 6,526.39

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Solution

The fourth proportional to 16,389.76, 24,583.02 and 6,526.39 is: 9,788.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,389.76 : 24,583.02 = 6,526.39 : x
  2. Step 2: Convert to fraction form
    16,389.76/24,583.02 = 6,526.39/x
  3. Step 3: Cross multiply
    16,389.76x = 24,583.02 × 6,526.39
  4. Step 4: Simplify right side
    16,389.76x = 160,438,375.90
  5. Step 5: Solve for x
    x = 160,438,375.90/16,389.76
  6. Step 6: Final answer
    x = 9,788.94

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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.