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Finding the Fourth Proportional to 16,721.76, 23,076.03 and 9,065.06

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Solution

The fourth proportional to 16,721.76, 23,076.03 and 9,065.06 is: 12,509.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,721.76 : 23,076.03 = 9,065.06 : x
  2. Step 2: Convert to fraction form
    16,721.76/23,076.03 = 9,065.06/x
  3. Step 3: Cross multiply
    16,721.76x = 23,076.03 × 9,065.06
  4. Step 4: Simplify right side
    16,721.76x = 209,185,596.51
  5. Step 5: Solve for x
    x = 209,185,596.51/16,721.76
  6. Step 6: Final answer
    x = 12,509.78

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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.