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Finding the Fourth Proportional to 15,836.16, 21,854.16 and 9,464.16

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Solution

The fourth proportional to 15,836.16, 21,854.16 and 9,464.16 is: 13,060.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,836.16 : 21,854.16 = 9,464.16 : x
  2. Step 2: Convert to fraction form
    15,836.16/21,854.16 = 9,464.16/x
  3. Step 3: Cross multiply
    15,836.16x = 21,854.16 × 9,464.16
  4. Step 4: Simplify right side
    15,836.16x = 206,831,266.91
  5. Step 5: Solve for x
    x = 206,831,266.91/15,836.16
  6. Step 6: Final answer
    x = 13,060.70

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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.