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Finding the Fourth Proportional to 21,114.12, 31,670.95 and 6,323.16

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Solution

The fourth proportional to 21,114.12, 31,670.95 and 6,323.16 is: 9,484.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,114.12 : 31,670.95 = 6,323.16 : x
  2. Step 2: Convert to fraction form
    21,114.12/31,670.95 = 6,323.16/x
  3. Step 3: Cross multiply
    21,114.12x = 31,670.95 × 6,323.16
  4. Step 4: Simplify right side
    21,114.12x = 200,260,599.02
  5. Step 5: Solve for x
    x = 200,260,599.02/21,114.12
  6. Step 6: Final answer
    x = 9,484.68

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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.