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Finding the Fourth Proportional to 23,102.34, 31,889.42 and 13,670.88

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Solution

The fourth proportional to 23,102.34, 31,889.42 and 13,670.88 is: 18,870.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,102.34 : 31,889.42 = 13,670.88 : x
  2. Step 2: Convert to fraction form
    23,102.34/31,889.42 = 13,670.88/x
  3. Step 3: Cross multiply
    23,102.34x = 31,889.42 × 13,670.88
  4. Step 4: Simplify right side
    23,102.34x = 435,956,434.09
  5. Step 5: Solve for x
    x = 435,956,434.09/23,102.34
  6. Step 6: Final answer
    x = 18,870.66

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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.