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Finding the Fourth Proportional to 31,656.96, 47,485.44 and 13,176

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Solution

The fourth proportional to 31,656.96, 47,485.44 and 13,176 is: 19,764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,656.96 : 47,485.44 = 13,176 : x
  2. Step 2: Convert to fraction form
    31,656.96/47,485.44 = 13,176/x
  3. Step 3: Cross multiply
    31,656.96x = 47,485.44 × 13,176
  4. Step 4: Simplify right side
    31,656.96x = 625,668,157.44
  5. Step 5: Solve for x
    x = 625,668,157.44/31,656.96
  6. Step 6: Final answer
    x = 19,764.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.