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Finding the Fourth Proportional to 21,130.95, 31,697.31 and 7,984.35

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Solution

The fourth proportional to 21,130.95, 31,697.31 and 7,984.35 is: 11,976.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,130.95 : 31,697.31 = 7,984.35 : x
  2. Step 2: Convert to fraction form
    21,130.95/31,697.31 = 7,984.35/x
  3. Step 3: Cross multiply
    21,130.95x = 31,697.31 × 7,984.35
  4. Step 4: Simplify right side
    21,130.95x = 253,082,417.10
  5. Step 5: Solve for x
    x = 253,082,417.10/21,130.95
  6. Step 6: Final answer
    x = 11,976.86

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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.