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Finding the Fourth Proportional to 23,765.57, 32,804.74 and 14,697.87

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Solution

The fourth proportional to 23,765.57, 32,804.74 and 14,697.87 is: 20,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,765.57 : 32,804.74 = 14,697.87 : x
  2. Step 2: Convert to fraction form
    23,765.57/32,804.74 = 14,697.87/x
  3. Step 3: Cross multiply
    23,765.57x = 32,804.74 × 14,697.87
  4. Step 4: Simplify right side
    23,765.57x = 482,159,856.23
  5. Step 5: Solve for x
    x = 482,159,856.23/23,765.57
  6. Step 6: Final answer
    x = 20,288.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.