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Finding the Fourth Proportional to 21,071.30, 31,602.68 and 7,739.72

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Solution

The fourth proportional to 21,071.30, 31,602.68 and 7,739.72 is: 11,608.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,071.30 : 31,602.68 = 7,739.72 : x
  2. Step 2: Convert to fraction form
    21,071.30/31,602.68 = 7,739.72/x
  3. Step 3: Cross multiply
    21,071.30x = 31,602.68 × 7,739.72
  4. Step 4: Simplify right side
    21,071.30x = 244,595,894.45
  5. Step 5: Solve for x
    x = 244,595,894.45/21,071.30
  6. Step 6: Final answer
    x = 11,608.01

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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.