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Finding the Fourth Proportional to 27,670.50, 38,186.10 and 15,096.06

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Solution

The fourth proportional to 27,670.50, 38,186.10 and 15,096.06 is: 20,833.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,670.50 : 38,186.10 = 15,096.06 : x
  2. Step 2: Convert to fraction form
    27,670.50/38,186.10 = 15,096.06/x
  3. Step 3: Cross multiply
    27,670.50x = 38,186.10 × 15,096.06
  4. Step 4: Simplify right side
    27,670.50x = 576,459,656.77
  5. Step 5: Solve for x
    x = 576,459,656.77/27,670.50
  6. Step 6: Final answer
    x = 20,833.00

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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.