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Finding the Fourth Proportional to 21,435.40, 32,114.70 and 13,217.80

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Solution

The fourth proportional to 21,435.40, 32,114.70 and 13,217.80 is: 19,803.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,435.40 : 32,114.70 = 13,217.80 : x
  2. Step 2: Convert to fraction form
    21,435.40/32,114.70 = 13,217.80/x
  3. Step 3: Cross multiply
    21,435.40x = 32,114.70 × 13,217.80
  4. Step 4: Simplify right side
    21,435.40x = 424,485,681.66
  5. Step 5: Solve for x
    x = 424,485,681.66/21,435.40
  6. Step 6: Final answer
    x = 19,803.02

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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.