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Finding the Fourth Proportional to 27,647.76, 38,157.57 and 15,714.93

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Solution

The fourth proportional to 27,647.76, 38,157.57 and 15,714.93 is: 21,688.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,647.76 : 38,157.57 = 15,714.93 : x
  2. Step 2: Convert to fraction form
    27,647.76/38,157.57 = 15,714.93/x
  3. Step 3: Cross multiply
    27,647.76x = 38,157.57 × 15,714.93
  4. Step 4: Simplify right side
    27,647.76x = 599,643,541.52
  5. Step 5: Solve for x
    x = 599,643,541.52/27,647.76
  6. Step 6: Final answer
    x = 21,688.68

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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.