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Finding the Fourth Proportional to 16,820.37, 23,211 and 10,102.01

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Solution

The fourth proportional to 16,820.37, 23,211 and 10,102.01 is: 13,940.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,820.37 : 23,211 = 10,102.01 : x
  2. Step 2: Convert to fraction form
    16,820.37/23,211 = 10,102.01/x
  3. Step 3: Cross multiply
    16,820.37x = 23,211 × 10,102.01
  4. Step 4: Simplify right side
    16,820.37x = 234,477,638.06
  5. Step 5: Solve for x
    x = 234,477,638.06/16,820.37
  6. Step 6: Final answer
    x = 13,940.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.