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Finding the Fourth Proportional to 13,468.16, 20,205.48 and 4,703.16

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Solution

The fourth proportional to 13,468.16, 20,205.48 and 4,703.16 is: 7,055.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,468.16 : 20,205.48 = 4,703.16 : x
  2. Step 2: Convert to fraction form
    13,468.16/20,205.48 = 4,703.16/x
  3. Step 3: Cross multiply
    13,468.16x = 20,205.48 × 4,703.16
  4. Step 4: Simplify right side
    13,468.16x = 95,029,605.32
  5. Step 5: Solve for x
    x = 95,029,605.32/13,468.16
  6. Step 6: Final answer
    x = 7,055.87

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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.