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Finding the Fourth Proportional to 19,859.84, 27,404.64 and 11,476.16

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Solution

The fourth proportional to 19,859.84, 27,404.64 and 11,476.16 is: 15,835.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,859.84 : 27,404.64 = 11,476.16 : x
  2. Step 2: Convert to fraction form
    19,859.84/27,404.64 = 11,476.16/x
  3. Step 3: Cross multiply
    19,859.84x = 27,404.64 × 11,476.16
  4. Step 4: Simplify right side
    19,859.84x = 314,500,033.38
  5. Step 5: Solve for x
    x = 314,500,033.38/19,859.84
  6. Step 6: Final answer
    x = 15,835.98

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1.5x scale

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.