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Finding the Fourth Proportional to 16,547.74, 22,836.27 and 8,994.49

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Solution

The fourth proportional to 16,547.74, 22,836.27 and 8,994.49 is: 12,412.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.74 : 22,836.27 = 8,994.49 : x
  2. Step 2: Convert to fraction form
    16,547.74/22,836.27 = 8,994.49/x
  3. Step 3: Cross multiply
    16,547.74x = 22,836.27 × 8,994.49
  4. Step 4: Simplify right side
    16,547.74x = 205,400,602.15
  5. Step 5: Solve for x
    x = 205,400,602.15/16,547.74
  6. Step 6: Final answer
    x = 12,412.61

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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.