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Finding the Fourth Proportional to 23,085.64, 32,073.07 and 22,809.16

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Solution

The fourth proportional to 23,085.64, 32,073.07 and 22,809.16 is: 31,688.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,085.64 : 32,073.07 = 22,809.16 : x
  2. Step 2: Convert to fraction form
    23,085.64/32,073.07 = 22,809.16/x
  3. Step 3: Cross multiply
    23,085.64x = 32,073.07 × 22,809.16
  4. Step 4: Simplify right side
    23,085.64x = 731,559,785.32
  5. Step 5: Solve for x
    x = 731,559,785.32/23,085.64
  6. Step 6: Final answer
    x = 31,688.95

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.