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Finding the Fourth Proportional to 16,947, 23,386.86 and 10,323

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Solution

The fourth proportional to 16,947, 23,386.86 and 10,323 is: 14,245.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,947 : 23,386.86 = 10,323 : x
  2. Step 2: Convert to fraction form
    16,947/23,386.86 = 10,323/x
  3. Step 3: Cross multiply
    16,947x = 23,386.86 × 10,323
  4. Step 4: Simplify right side
    16,947x = 241,422,555.78
  5. Step 5: Solve for x
    x = 241,422,555.78/16,947
  6. Step 6: Final answer
    x = 14,245.74

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1.5x scale

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.