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Finding the Fourth Proportional to 15,585.75, 23,378.63 and 6,820.67

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Solution

The fourth proportional to 15,585.75, 23,378.63 and 6,820.67 is: 10,231.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,585.75 : 23,378.63 = 6,820.67 : x
  2. Step 2: Convert to fraction form
    15,585.75/23,378.63 = 6,820.67/x
  3. Step 3: Cross multiply
    15,585.75x = 23,378.63 × 6,820.67
  4. Step 4: Simplify right side
    15,585.75x = 159,457,944.63
  5. Step 5: Solve for x
    x = 159,457,944.63/15,585.75
  6. Step 6: Final answer
    x = 10,231.01

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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.