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Finding the Fourth Proportional to 16,719.76, 23,054.36 and 10,661.92

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Solution

The fourth proportional to 16,719.76, 23,054.36 and 10,661.92 is: 14,701.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,719.76 : 23,054.36 = 10,661.92 : x
  2. Step 2: Convert to fraction form
    16,719.76/23,054.36 = 10,661.92/x
  3. Step 3: Cross multiply
    16,719.76x = 23,054.36 × 10,661.92
  4. Step 4: Simplify right side
    16,719.76x = 245,803,741.97
  5. Step 5: Solve for x
    x = 245,803,741.97/16,719.76
  6. Step 6: Final answer
    x = 14,701.39

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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.