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Finding the Fourth Proportional to 21,412.74, 32,116.68 and 8,263.98

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Solution

The fourth proportional to 21,412.74, 32,116.68 and 8,263.98 is: 12,395.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,412.74 : 32,116.68 = 8,263.98 : x
  2. Step 2: Convert to fraction form
    21,412.74/32,116.68 = 8,263.98/x
  3. Step 3: Cross multiply
    21,412.74x = 32,116.68 × 8,263.98
  4. Step 4: Simplify right side
    21,412.74x = 265,411,601.19
  5. Step 5: Solve for x
    x = 265,411,601.19/21,412.74
  6. Step 6: Final answer
    x = 12,395.03

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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.