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Finding the Fourth Proportional to 23,458.68, 35,197.74 and 13,068

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Solution

The fourth proportional to 23,458.68, 35,197.74 and 13,068 is: 19,607.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,458.68 : 35,197.74 = 13,068 : x
  2. Step 2: Convert to fraction form
    23,458.68/35,197.74 = 13,068/x
  3. Step 3: Cross multiply
    23,458.68x = 35,197.74 × 13,068
  4. Step 4: Simplify right side
    23,458.68x = 459,964,066.32
  5. Step 5: Solve for x
    x = 459,964,066.32/23,458.68
  6. Step 6: Final answer
    x = 19,607.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.