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Finding the Fourth Proportional to 16,442.76, 24,643.38 and 10,517.40

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Solution

The fourth proportional to 16,442.76, 24,643.38 and 10,517.40 is: 15,762.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,442.76 : 24,643.38 = 10,517.40 : x
  2. Step 2: Convert to fraction form
    16,442.76/24,643.38 = 10,517.40/x
  3. Step 3: Cross multiply
    16,442.76x = 24,643.38 × 10,517.40
  4. Step 4: Simplify right side
    16,442.76x = 259,184,284.81
  5. Step 5: Solve for x
    x = 259,184,284.81/16,442.76
  6. Step 6: Final answer
    x = 15,762.82

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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.