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Finding the Fourth Proportional to 21,664.50, 32,492.64 and 10,560.02

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Solution

The fourth proportional to 21,664.50, 32,492.64 and 10,560.02 is: 15,838.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,664.50 : 32,492.64 = 10,560.02 : x
  2. Step 2: Convert to fraction form
    21,664.50/32,492.64 = 10,560.02/x
  3. Step 3: Cross multiply
    21,664.50x = 32,492.64 × 10,560.02
  4. Step 4: Simplify right side
    21,664.50x = 343,122,928.25
  5. Step 5: Solve for x
    x = 343,122,928.25/21,664.50
  6. Step 6: Final answer
    x = 15,838.03

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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.