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Finding the Fourth Proportional to 21,466.76, 32,209.38 and 10,381.80

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Solution

The fourth proportional to 21,466.76, 32,209.38 and 10,381.80 is: 15,577.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,466.76 : 32,209.38 = 10,381.80 : x
  2. Step 2: Convert to fraction form
    21,466.76/32,209.38 = 10,381.80/x
  3. Step 3: Cross multiply
    21,466.76x = 32,209.38 × 10,381.80
  4. Step 4: Simplify right side
    21,466.76x = 334,391,341.28
  5. Step 5: Solve for x
    x = 334,391,341.28/21,466.76
  6. Step 6: Final answer
    x = 15,577.17

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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.