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Finding the Fourth Proportional to 30,674.88, 46,012.32 and 13,143.24

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Solution

The fourth proportional to 30,674.88, 46,012.32 and 13,143.24 is: 19,714.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,674.88 : 46,012.32 = 13,143.24 : x
  2. Step 2: Convert to fraction form
    30,674.88/46,012.32 = 13,143.24/x
  3. Step 3: Cross multiply
    30,674.88x = 46,012.32 × 13,143.24
  4. Step 4: Simplify right side
    30,674.88x = 604,750,964.72
  5. Step 5: Solve for x
    x = 604,750,964.72/30,674.88
  6. Step 6: Final answer
    x = 19,714.86

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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.