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Finding the Fourth Proportional to 16,598.41, 22,905.92 and 9,884.32

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Solution

The fourth proportional to 16,598.41, 22,905.92 and 9,884.32 is: 13,640.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,598.41 : 22,905.92 = 9,884.32 : x
  2. Step 2: Convert to fraction form
    16,598.41/22,905.92 = 9,884.32/x
  3. Step 3: Cross multiply
    16,598.41x = 22,905.92 × 9,884.32
  4. Step 4: Simplify right side
    16,598.41x = 226,409,443.17
  5. Step 5: Solve for x
    x = 226,409,443.17/16,598.41
  6. Step 6: Final answer
    x = 13,640.43

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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.