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Finding the Fourth Proportional to 13,925.10, 20,889 and 4,064.16

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Solution

The fourth proportional to 13,925.10, 20,889 and 4,064.16 is: 6,096.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,925.10 : 20,889 = 4,064.16 : x
  2. Step 2: Convert to fraction form
    13,925.10/20,889 = 4,064.16/x
  3. Step 3: Cross multiply
    13,925.10x = 20,889 × 4,064.16
  4. Step 4: Simplify right side
    13,925.10x = 84,896,238.24
  5. Step 5: Solve for x
    x = 84,896,238.24/13,925.10
  6. Step 6: Final answer
    x = 6,096.63

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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.