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Finding the Fourth Proportional to 27,987.16, 38,622.54 and 15,412

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Solution

The fourth proportional to 27,987.16, 38,622.54 and 15,412 is: 21,268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,987.16 : 38,622.54 = 15,412 : x
  2. Step 2: Convert to fraction form
    27,987.16/38,622.54 = 15,412/x
  3. Step 3: Cross multiply
    27,987.16x = 38,622.54 × 15,412
  4. Step 4: Simplify right side
    27,987.16x = 595,250,586.48
  5. Step 5: Solve for x
    x = 595,250,586.48/27,987.16
  6. Step 6: Final answer
    x = 21,268.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.