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Finding the Fourth Proportional to 16,706.32, 25,064.40 and 5,021.32

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Solution

The fourth proportional to 16,706.32, 25,064.40 and 5,021.32 is: 7,533.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,706.32 : 25,064.40 = 5,021.32 : x
  2. Step 2: Convert to fraction form
    16,706.32/25,064.40 = 5,021.32/x
  3. Step 3: Cross multiply
    16,706.32x = 25,064.40 × 5,021.32
  4. Step 4: Simplify right side
    16,706.32x = 125,856,373.01
  5. Step 5: Solve for x
    x = 125,856,373.01/16,706.32
  6. Step 6: Final answer
    x = 7,533.46

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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.