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Finding the Fourth Proportional to 21,033.64, 31,543.63 and 6,989.90

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Solution

The fourth proportional to 21,033.64, 31,543.63 and 6,989.90 is: 10,482.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,033.64 : 31,543.63 = 6,989.90 : x
  2. Step 2: Convert to fraction form
    21,033.64/31,543.63 = 6,989.90/x
  3. Step 3: Cross multiply
    21,033.64x = 31,543.63 × 6,989.90
  4. Step 4: Simplify right side
    21,033.64x = 220,486,670.36
  5. Step 5: Solve for x
    x = 220,486,670.36/21,033.64
  6. Step 6: Final answer
    x = 10,482.57

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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.