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Finding the Fourth Proportional to 23,876.40, 35,830.80 and 15,536.10

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Solution

The fourth proportional to 23,876.40, 35,830.80 and 15,536.10 is: 23,314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,876.40 : 35,830.80 = 15,536.10 : x
  2. Step 2: Convert to fraction form
    23,876.40/35,830.80 = 15,536.10/x
  3. Step 3: Cross multiply
    23,876.40x = 35,830.80 × 15,536.10
  4. Step 4: Simplify right side
    23,876.40x = 556,670,891.88
  5. Step 5: Solve for x
    x = 556,670,891.88/23,876.40
  6. Step 6: Final answer
    x = 23,314.69

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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.