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Finding the Fourth Proportional to 16,853.59, 23,260.01 and 9,683.49

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Solution

The fourth proportional to 16,853.59, 23,260.01 and 9,683.49 is: 13,364.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853.59 : 23,260.01 = 9,683.49 : x
  2. Step 2: Convert to fraction form
    16,853.59/23,260.01 = 9,683.49/x
  3. Step 3: Cross multiply
    16,853.59x = 23,260.01 × 9,683.49
  4. Step 4: Simplify right side
    16,853.59x = 225,238,074.23
  5. Step 5: Solve for x
    x = 225,238,074.23/16,853.59
  6. Step 6: Final answer
    x = 13,364.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.