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Finding the Fourth Proportional to 23,581.40, 35,319.84 and 13,696.16

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Solution

The fourth proportional to 23,581.40, 35,319.84 and 13,696.16 is: 20,513.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,581.40 : 35,319.84 = 13,696.16 : x
  2. Step 2: Convert to fraction form
    23,581.40/35,319.84 = 13,696.16/x
  3. Step 3: Cross multiply
    23,581.40x = 35,319.84 × 13,696.16
  4. Step 4: Simplify right side
    23,581.40x = 483,746,179.81
  5. Step 5: Solve for x
    x = 483,746,179.81/23,581.40
  6. Step 6: Final answer
    x = 20,513.89

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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.