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Finding the Fourth Proportional to 14,548.32, 20,074.32 and 8,174.16

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Solution

The fourth proportional to 14,548.32, 20,074.32 and 8,174.16 is: 11,279.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,548.32 : 20,074.32 = 8,174.16 : x
  2. Step 2: Convert to fraction form
    14,548.32/20,074.32 = 8,174.16/x
  3. Step 3: Cross multiply
    14,548.32x = 20,074.32 × 8,174.16
  4. Step 4: Simplify right side
    14,548.32x = 164,090,703.57
  5. Step 5: Solve for x
    x = 164,090,703.57/14,548.32
  6. Step 6: Final answer
    x = 11,279.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.