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Finding the Fourth Proportional to 23,902.84, 35,854.26 and 7,263.01

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Solution

The fourth proportional to 23,902.84, 35,854.26 and 7,263.01 is: 10,894.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,902.84 : 35,854.26 = 7,263.01 : x
  2. Step 2: Convert to fraction form
    23,902.84/35,854.26 = 7,263.01/x
  3. Step 3: Cross multiply
    23,902.84x = 35,854.26 × 7,263.01
  4. Step 4: Simplify right side
    23,902.84x = 260,409,848.92
  5. Step 5: Solve for x
    x = 260,409,848.92/23,902.84
  6. Step 6: Final answer
    x = 10,894.52

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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.