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Finding the Fourth Proportional to 23,572.32, 32,529.64 and 12,961.68

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Solution

The fourth proportional to 23,572.32, 32,529.64 and 12,961.68 is: 17,887.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,572.32 : 32,529.64 = 12,961.68 : x
  2. Step 2: Convert to fraction form
    23,572.32/32,529.64 = 12,961.68/x
  3. Step 3: Cross multiply
    23,572.32x = 32,529.64 × 12,961.68
  4. Step 4: Simplify right side
    23,572.32x = 421,638,784.20
  5. Step 5: Solve for x
    x = 421,638,784.20/23,572.32
  6. Step 6: Final answer
    x = 17,887.03

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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.