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Finding the Fourth Proportional to 16,386.14, 22,612.86 and 8,934.14

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Solution

The fourth proportional to 16,386.14, 22,612.86 and 8,934.14 is: 12,329.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,386.14 : 22,612.86 = 8,934.14 : x
  2. Step 2: Convert to fraction form
    16,386.14/22,612.86 = 8,934.14/x
  3. Step 3: Cross multiply
    16,386.14x = 22,612.86 × 8,934.14
  4. Step 4: Simplify right side
    16,386.14x = 202,026,457.04
  5. Step 5: Solve for x
    x = 202,026,457.04/16,386.14
  6. Step 6: Final answer
    x = 12,329.11

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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.