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Finding the Fourth Proportional to 23,425.81, 35,082.41 and 13,400.16

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Solution

The fourth proportional to 23,425.81, 35,082.41 and 13,400.16 is: 20,068.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,425.81 : 35,082.41 = 13,400.16 : x
  2. Step 2: Convert to fraction form
    23,425.81/35,082.41 = 13,400.16/x
  3. Step 3: Cross multiply
    23,425.81x = 35,082.41 × 13,400.16
  4. Step 4: Simplify right side
    23,425.81x = 470,109,907.19
  5. Step 5: Solve for x
    x = 470,109,907.19/23,425.81
  6. Step 6: Final answer
    x = 20,068.03

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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.