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Finding the Fourth Proportional to 21,430.34, 32,136.49 and 8,101.08

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Solution

The fourth proportional to 21,430.34, 32,136.49 and 8,101.08 is: 12,148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,430.34 : 32,136.49 = 8,101.08 : x
  2. Step 2: Convert to fraction form
    21,430.34/32,136.49 = 8,101.08/x
  3. Step 3: Cross multiply
    21,430.34x = 32,136.49 × 8,101.08
  4. Step 4: Simplify right side
    21,430.34x = 260,340,276.41
  5. Step 5: Solve for x
    x = 260,340,276.41/21,430.34
  6. Step 6: Final answer
    x = 12,148.21

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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.