Home / 12,206.02-16,828-9,696.43

Finding the Fourth Proportional to 12,206.02, 16,828 and 9,696.43

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Solution

The fourth proportional to 12,206.02, 16,828 and 9,696.43 is: 13,368.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.02 : 16,828 = 9,696.43 : x
  2. Step 2: Convert to fraction form
    12,206.02/16,828 = 9,696.43/x
  3. Step 3: Cross multiply
    12,206.02x = 16,828 × 9,696.43
  4. Step 4: Simplify right side
    12,206.02x = 163,171,524.04
  5. Step 5: Solve for x
    x = 163,171,524.04/12,206.02
  6. Step 6: Final answer
    x = 13,368.12

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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.