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Finding the Fourth Proportional to 30,680.16, 46,020.24 and 13,138.64

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Solution

The fourth proportional to 30,680.16, 46,020.24 and 13,138.64 is: 19,707.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,680.16 : 46,020.24 = 13,138.64 : x
  2. Step 2: Convert to fraction form
    30,680.16/46,020.24 = 13,138.64/x
  3. Step 3: Cross multiply
    30,680.16x = 46,020.24 × 13,138.64
  4. Step 4: Simplify right side
    30,680.16x = 604,643,366.07
  5. Step 5: Solve for x
    x = 604,643,366.07/30,680.16
  6. Step 6: Final answer
    x = 19,707.96

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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.