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Finding the Fourth Proportional to 23,572.83, 32,530.23 and 12,961.83

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Solution

The fourth proportional to 23,572.83, 32,530.23 and 12,961.83 is: 17,887.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,572.83 : 32,530.23 = 12,961.83 : x
  2. Step 2: Convert to fraction form
    23,572.83/32,530.23 = 12,961.83/x
  3. Step 3: Cross multiply
    23,572.83x = 32,530.23 × 12,961.83
  4. Step 4: Simplify right side
    23,572.83x = 421,651,311.12
  5. Step 5: Solve for x
    x = 421,651,311.12/23,572.83
  6. Step 6: Final answer
    x = 17,887.17

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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.