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Finding the Fourth Proportional to 21,875.40, 32,821.20 and 21,065.40

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Solution

The fourth proportional to 21,875.40, 32,821.20 and 21,065.40 is: 31,605.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,875.40 : 32,821.20 = 21,065.40 : x
  2. Step 2: Convert to fraction form
    21,875.40/32,821.20 = 21,065.40/x
  3. Step 3: Cross multiply
    21,875.40x = 32,821.20 × 21,065.40
  4. Step 4: Simplify right side
    21,875.40x = 691,391,706.48
  5. Step 5: Solve for x
    x = 691,391,706.48/21,875.40
  6. Step 6: Final answer
    x = 31,605.90

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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.