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Finding the Fourth Proportional to 23,378.60, 35,048.16 and 10,220.96

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Solution

The fourth proportional to 23,378.60, 35,048.16 and 10,220.96 is: 15,322.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,378.60 : 35,048.16 = 10,220.96 : x
  2. Step 2: Convert to fraction form
    23,378.60/35,048.16 = 10,220.96/x
  3. Step 3: Cross multiply
    23,378.60x = 35,048.16 × 10,220.96
  4. Step 4: Simplify right side
    23,378.60x = 358,225,841.43
  5. Step 5: Solve for x
    x = 358,225,841.43/23,378.60
  6. Step 6: Final answer
    x = 15,322.81

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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.