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Finding the Fourth Proportional to 23,171.78, 34,762.54 and 10,026.02

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Solution

The fourth proportional to 23,171.78, 34,762.54 and 10,026.02 is: 15,041.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,171.78 : 34,762.54 = 10,026.02 : x
  2. Step 2: Convert to fraction form
    23,171.78/34,762.54 = 10,026.02/x
  3. Step 3: Cross multiply
    23,171.78x = 34,762.54 × 10,026.02
  4. Step 4: Simplify right side
    23,171.78x = 348,529,921.29
  5. Step 5: Solve for x
    x = 348,529,921.29/23,171.78
  6. Step 6: Final answer
    x = 15,041.14

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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.