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Finding the Fourth Proportional to 19,671.65, 27,146.86 and 10,719.14

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Solution

The fourth proportional to 19,671.65, 27,146.86 and 10,719.14 is: 14,792.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,671.65 : 27,146.86 = 10,719.14 : x
  2. Step 2: Convert to fraction form
    19,671.65/27,146.86 = 10,719.14/x
  3. Step 3: Cross multiply
    19,671.65x = 27,146.86 × 10,719.14
  4. Step 4: Simplify right side
    19,671.65x = 290,990,901.37
  5. Step 5: Solve for x
    x = 290,990,901.37/19,671.65
  6. Step 6: Final answer
    x = 14,792.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.