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Finding the Fourth Proportional to 16,642.22, 22,966.31 and 9,088.63

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Solution

The fourth proportional to 16,642.22, 22,966.31 and 9,088.63 is: 12,542.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.22 : 22,966.31 = 9,088.63 : x
  2. Step 2: Convert to fraction form
    16,642.22/22,966.31 = 9,088.63/x
  3. Step 3: Cross multiply
    16,642.22x = 22,966.31 × 9,088.63
  4. Step 4: Simplify right side
    16,642.22x = 208,732,259.36
  5. Step 5: Solve for x
    x = 208,732,259.36/16,642.22
  6. Step 6: Final answer
    x = 12,542.34

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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.