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Finding the Fourth Proportional to 16,425.66, 22,664.80 and 9,352.22

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Solution

The fourth proportional to 16,425.66, 22,664.80 and 9,352.22 is: 12,904.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,425.66 : 22,664.80 = 9,352.22 : x
  2. Step 2: Convert to fraction form
    16,425.66/22,664.80 = 9,352.22/x
  3. Step 3: Cross multiply
    16,425.66x = 22,664.80 × 9,352.22
  4. Step 4: Simplify right side
    16,425.66x = 211,966,035.77
  5. Step 5: Solve for x
    x = 211,966,035.77/16,425.66
  6. Step 6: Final answer
    x = 12,904.57

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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.