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Finding the Fourth Proportional to 21,806.40, 32,541.90 and 21,681.66

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Solution

The fourth proportional to 21,806.40, 32,541.90 and 21,681.66 is: 32,355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,806.40 : 32,541.90 = 21,681.66 : x
  2. Step 2: Convert to fraction form
    21,806.40/32,541.90 = 21,681.66/x
  3. Step 3: Cross multiply
    21,806.40x = 32,541.90 × 21,681.66
  4. Step 4: Simplify right side
    21,806.40x = 705,562,411.55
  5. Step 5: Solve for x
    x = 705,562,411.55/21,806.40
  6. Step 6: Final answer
    x = 32,355.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.