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Finding the Fourth Proportional to 15,853.85, 21,880.64 and 9,138.16

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Solution

The fourth proportional to 15,853.85, 21,880.64 and 9,138.16 is: 12,612.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,853.85 : 21,880.64 = 9,138.16 : x
  2. Step 2: Convert to fraction form
    15,853.85/21,880.64 = 9,138.16/x
  3. Step 3: Cross multiply
    15,853.85x = 21,880.64 × 9,138.16
  4. Step 4: Simplify right side
    15,853.85x = 199,948,789.22
  5. Step 5: Solve for x
    x = 199,948,789.22/15,853.85
  6. Step 6: Final answer
    x = 12,612.01

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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.