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Finding the Fourth Proportional to 16,465.94, 24,701.34 and 4,777.64

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Solution

The fourth proportional to 16,465.94, 24,701.34 and 4,777.64 is: 7,167.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465.94 : 24,701.34 = 4,777.64 : x
  2. Step 2: Convert to fraction form
    16,465.94/24,701.34 = 4,777.64/x
  3. Step 3: Cross multiply
    16,465.94x = 24,701.34 × 4,777.64
  4. Step 4: Simplify right side
    16,465.94x = 118,014,110.04
  5. Step 5: Solve for x
    x = 118,014,110.04/16,465.94
  6. Step 6: Final answer
    x = 7,167.17

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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.