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Finding the Fourth Proportional to 15,241.66, 21,046.47 and 9,585.87

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Solution

The fourth proportional to 15,241.66, 21,046.47 and 9,585.87 is: 13,236.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,241.66 : 21,046.47 = 9,585.87 : x
  2. Step 2: Convert to fraction form
    15,241.66/21,046.47 = 9,585.87/x
  3. Step 3: Cross multiply
    15,241.66x = 21,046.47 × 9,585.87
  4. Step 4: Simplify right side
    15,241.66x = 201,748,725.38
  5. Step 5: Solve for x
    x = 201,748,725.38/15,241.66
  6. Step 6: Final answer
    x = 13,236.66

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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.