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Finding the Fourth Proportional to 28,102.32, 42,174.23 and 13,311.23

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Solution

The fourth proportional to 28,102.32, 42,174.23 and 13,311.23 is: 19,976.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,102.32 : 42,174.23 = 13,311.23 : x
  2. Step 2: Convert to fraction form
    28,102.32/42,174.23 = 13,311.23/x
  3. Step 3: Cross multiply
    28,102.32x = 42,174.23 × 13,311.23
  4. Step 4: Simplify right side
    28,102.32x = 561,390,598.18
  5. Step 5: Solve for x
    x = 561,390,598.18/28,102.32
  6. Step 6: Final answer
    x = 19,976.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.