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Finding the Fourth Proportional to 12,707.19, 19,058.63 and 5,309.73

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Solution

The fourth proportional to 12,707.19, 19,058.63 and 5,309.73 is: 7,963.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707.19 : 19,058.63 = 5,309.73 : x
  2. Step 2: Convert to fraction form
    12,707.19/19,058.63 = 5,309.73/x
  3. Step 3: Cross multiply
    12,707.19x = 19,058.63 × 5,309.73
  4. Step 4: Simplify right side
    12,707.19x = 101,196,152.92
  5. Step 5: Solve for x
    x = 101,196,152.92/12,707.19
  6. Step 6: Final answer
    x = 7,963.69

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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.