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Finding the Fourth Proportional to 31,646.40, 43,670.20 and 17,498.32

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Solution

The fourth proportional to 31,646.40, 43,670.20 and 17,498.32 is: 24,146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,646.40 : 43,670.20 = 17,498.32 : x
  2. Step 2: Convert to fraction form
    31,646.40/43,670.20 = 17,498.32/x
  3. Step 3: Cross multiply
    31,646.40x = 43,670.20 × 17,498.32
  4. Step 4: Simplify right side
    31,646.40x = 764,155,134.06
  5. Step 5: Solve for x
    x = 764,155,134.06/31,646.40
  6. Step 6: Final answer
    x = 24,146.67

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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.