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Finding the Fourth Proportional to 15,656.16, 21,606.38 and 9,286.53

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Solution

The fourth proportional to 15,656.16, 21,606.38 and 9,286.53 is: 12,815.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,656.16 : 21,606.38 = 9,286.53 : x
  2. Step 2: Convert to fraction form
    15,656.16/21,606.38 = 9,286.53/x
  3. Step 3: Cross multiply
    15,656.16x = 21,606.38 × 9,286.53
  4. Step 4: Simplify right side
    15,656.16x = 200,648,296.06
  5. Step 5: Solve for x
    x = 200,648,296.06/15,656.16
  6. Step 6: Final answer
    x = 12,815.93

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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.