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Finding the Fourth Proportional to 23,478.34, 35,232.77 and 10,164.32

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Solution

The fourth proportional to 23,478.34, 35,232.77 and 10,164.32 is: 15,253.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,478.34 : 35,232.77 = 10,164.32 : x
  2. Step 2: Convert to fraction form
    23,478.34/35,232.77 = 10,164.32/x
  3. Step 3: Cross multiply
    23,478.34x = 35,232.77 × 10,164.32
  4. Step 4: Simplify right side
    23,478.34x = 358,117,130.14
  5. Step 5: Solve for x
    x = 358,117,130.14/23,478.34
  6. Step 6: Final answer
    x = 15,253.09

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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.