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Finding the Fourth Proportional to 16,583.80, 22,885.74 and 9,030.14

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Solution

The fourth proportional to 16,583.80, 22,885.74 and 9,030.14 is: 12,461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,583.80 : 22,885.74 = 9,030.14 : x
  2. Step 2: Convert to fraction form
    16,583.80/22,885.74 = 9,030.14/x
  3. Step 3: Cross multiply
    16,583.80x = 22,885.74 × 9,030.14
  4. Step 4: Simplify right side
    16,583.80x = 206,661,436.20
  5. Step 5: Solve for x
    x = 206,661,436.20/16,583.80
  6. Step 6: Final answer
    x = 12,461.65

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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.