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Finding the Fourth Proportional to 23,720.13, 32,733.89 and 12,965.22

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Solution

The fourth proportional to 23,720.13, 32,733.89 and 12,965.22 is: 17,892.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,720.13 : 32,733.89 = 12,965.22 : x
  2. Step 2: Convert to fraction form
    23,720.13/32,733.89 = 12,965.22/x
  3. Step 3: Cross multiply
    23,720.13x = 32,733.89 × 12,965.22
  4. Step 4: Simplify right side
    23,720.13x = 424,402,085.31
  5. Step 5: Solve for x
    x = 424,402,085.31/23,720.13
  6. Step 6: Final answer
    x = 17,892.06

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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.