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Finding the Fourth Proportional to 15,762.15, 23,643.83 and 5,900.40

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Solution

The fourth proportional to 15,762.15, 23,643.83 and 5,900.40 is: 8,850.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.15 : 23,643.83 = 5,900.40 : x
  2. Step 2: Convert to fraction form
    15,762.15/23,643.83 = 5,900.40/x
  3. Step 3: Cross multiply
    15,762.15x = 23,643.83 × 5,900.40
  4. Step 4: Simplify right side
    15,762.15x = 139,508,054.53
  5. Step 5: Solve for x
    x = 139,508,054.53/15,762.15
  6. Step 6: Final answer
    x = 8,850.83

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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.