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Finding the Fourth Proportional to 23,678.70, 35,518.06 and 7,038.68

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Solution

The fourth proportional to 23,678.70, 35,518.06 and 7,038.68 is: 10,558.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,678.70 : 35,518.06 = 7,038.68 : x
  2. Step 2: Convert to fraction form
    23,678.70/35,518.06 = 7,038.68/x
  3. Step 3: Cross multiply
    23,678.70x = 35,518.06 × 7,038.68
  4. Step 4: Simplify right side
    23,678.70x = 250,000,258.56
  5. Step 5: Solve for x
    x = 250,000,258.56/23,678.70
  6. Step 6: Final answer
    x = 10,558.02

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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.