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Finding the Fourth Proportional to 30,472.17, 45,702.66 and 13,828.20

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Solution

The fourth proportional to 30,472.17, 45,702.66 and 13,828.20 is: 20,739.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,472.17 : 45,702.66 = 13,828.20 : x
  2. Step 2: Convert to fraction form
    30,472.17/45,702.66 = 13,828.20/x
  3. Step 3: Cross multiply
    30,472.17x = 45,702.66 × 13,828.20
  4. Step 4: Simplify right side
    30,472.17x = 631,985,523.01
  5. Step 5: Solve for x
    x = 631,985,523.01/30,472.17
  6. Step 6: Final answer
    x = 20,739.76

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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.