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Finding the Fourth Proportional to 23,802.60, 35,696.70 and 7,158.22

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Solution

The fourth proportional to 23,802.60, 35,696.70 and 7,158.22 is: 10,735.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802.60 : 35,696.70 = 7,158.22 : x
  2. Step 2: Convert to fraction form
    23,802.60/35,696.70 = 7,158.22/x
  3. Step 3: Cross multiply
    23,802.60x = 35,696.70 × 7,158.22
  4. Step 4: Simplify right side
    23,802.60x = 255,524,742.63
  5. Step 5: Solve for x
    x = 255,524,742.63/23,802.60
  6. Step 6: Final answer
    x = 10,735.16

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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.