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Finding the Fourth Proportional to 13,143.74, 19,718.66 and 4,258.71

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Solution

The fourth proportional to 13,143.74, 19,718.66 and 4,258.71 is: 6,389.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.74 : 19,718.66 = 4,258.71 : x
  2. Step 2: Convert to fraction form
    13,143.74/19,718.66 = 4,258.71/x
  3. Step 3: Cross multiply
    13,143.74x = 19,718.66 × 4,258.71
  4. Step 4: Simplify right side
    13,143.74x = 83,976,065.18
  5. Step 5: Solve for x
    x = 83,976,065.18/13,143.74
  6. Step 6: Final answer
    x = 6,389.06

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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.