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Finding the Fourth Proportional to 16,698.47, 23,047.67 and 10,409.63

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Solution

The fourth proportional to 16,698.47, 23,047.67 and 10,409.63 is: 14,367.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,698.47 : 23,047.67 = 10,409.63 : x
  2. Step 2: Convert to fraction form
    16,698.47/23,047.67 = 10,409.63/x
  3. Step 3: Cross multiply
    16,698.47x = 23,047.67 × 10,409.63
  4. Step 4: Simplify right side
    16,698.47x = 239,917,627.85
  5. Step 5: Solve for x
    x = 239,917,627.85/16,698.47
  6. Step 6: Final answer
    x = 14,367.65

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