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Finding the Fourth Proportional to 23,818.60, 35,707.74 and 9,019.36

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Solution

The fourth proportional to 23,818.60, 35,707.74 and 9,019.36 is: 13,521.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,818.60 : 35,707.74 = 9,019.36 : x
  2. Step 2: Convert to fraction form
    23,818.60/35,707.74 = 9,019.36/x
  3. Step 3: Cross multiply
    23,818.60x = 35,707.74 × 9,019.36
  4. Step 4: Simplify right side
    23,818.60x = 322,060,961.85
  5. Step 5: Solve for x
    x = 322,060,961.85/23,818.60
  6. Step 6: Final answer
    x = 13,521.41

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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.