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Finding the Fourth Proportional to 21,166.18, 31,763.85 and 9,492.46

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Solution

The fourth proportional to 21,166.18, 31,763.85 and 9,492.46 is: 14,245.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,166.18 : 31,763.85 = 9,492.46 : x
  2. Step 2: Convert to fraction form
    21,166.18/31,763.85 = 9,492.46/x
  3. Step 3: Cross multiply
    21,166.18x = 31,763.85 × 9,492.46
  4. Step 4: Simplify right side
    21,166.18x = 301,517,075.57
  5. Step 5: Solve for x
    x = 301,517,075.57/21,166.18
  6. Step 6: Final answer
    x = 14,245.23

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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.