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Finding the Fourth Proportional to 16,526.84, 24,782 and 5,432.28

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Solution

The fourth proportional to 16,526.84, 24,782 and 5,432.28 is: 8,145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,526.84 : 24,782 = 5,432.28 : x
  2. Step 2: Convert to fraction form
    16,526.84/24,782 = 5,432.28/x
  3. Step 3: Cross multiply
    16,526.84x = 24,782 × 5,432.28
  4. Step 4: Simplify right side
    16,526.84x = 134,622,762.96
  5. Step 5: Solve for x
    x = 134,622,762.96/16,526.84
  6. Step 6: Final answer
    x = 8,145.70

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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.