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Finding the Fourth Proportional to 30,008.50, 41,411.23 and 16,580.32

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Solution

The fourth proportional to 30,008.50, 41,411.23 and 16,580.32 is: 22,880.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,008.50 : 41,411.23 = 16,580.32 : x
  2. Step 2: Convert to fraction form
    30,008.50/41,411.23 = 16,580.32/x
  3. Step 3: Cross multiply
    30,008.50x = 41,411.23 × 16,580.32
  4. Step 4: Simplify right side
    30,008.50x = 686,611,444.99
  5. Step 5: Solve for x
    x = 686,611,444.99/30,008.50
  6. Step 6: Final answer
    x = 22,880.57

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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.