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Finding the Fourth Proportional to 12,707.33, 19,066.46 and 6,138.43

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Solution

The fourth proportional to 12,707.33, 19,066.46 and 6,138.43 is: 9,210.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707.33 : 19,066.46 = 6,138.43 : x
  2. Step 2: Convert to fraction form
    12,707.33/19,066.46 = 6,138.43/x
  3. Step 3: Cross multiply
    12,707.33x = 19,066.46 × 6,138.43
  4. Step 4: Simplify right side
    12,707.33x = 117,038,051.70
  5. Step 5: Solve for x
    x = 117,038,051.70/12,707.33
  6. Step 6: Final answer
    x = 9,210.28

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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.