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Finding the Fourth Proportional to 16,313.08, 22,513.14 and 9,143.08

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Solution

The fourth proportional to 16,313.08, 22,513.14 and 9,143.08 is: 12,618.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,313.08 : 22,513.14 = 9,143.08 : x
  2. Step 2: Convert to fraction form
    16,313.08/22,513.14 = 9,143.08/x
  3. Step 3: Cross multiply
    16,313.08x = 22,513.14 × 9,143.08
  4. Step 4: Simplify right side
    16,313.08x = 205,839,440.07
  5. Step 5: Solve for x
    x = 205,839,440.07/16,313.08
  6. Step 6: Final answer
    x = 12,618.06

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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.