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Finding the Fourth Proportional to 27,875.64, 38,455.38 and 17,261.40

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Solution

The fourth proportional to 27,875.64, 38,455.38 and 17,261.40 is: 23,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,875.64 : 38,455.38 = 17,261.40 : x
  2. Step 2: Convert to fraction form
    27,875.64/38,455.38 = 17,261.40/x
  3. Step 3: Cross multiply
    27,875.64x = 38,455.38 × 17,261.40
  4. Step 4: Simplify right side
    27,875.64x = 663,793,696.33
  5. Step 5: Solve for x
    x = 663,793,696.33/27,875.64
  6. Step 6: Final answer
    x = 23,812.68

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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.