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Finding the Fourth Proportional to 16,030.82, 24,056.67 and 7,266.50

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Solution

The fourth proportional to 16,030.82, 24,056.67 and 7,266.50 is: 10,904.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,030.82 : 24,056.67 = 7,266.50 : x
  2. Step 2: Convert to fraction form
    16,030.82/24,056.67 = 7,266.50/x
  3. Step 3: Cross multiply
    16,030.82x = 24,056.67 × 7,266.50
  4. Step 4: Simplify right side
    16,030.82x = 174,807,792.56
  5. Step 5: Solve for x
    x = 174,807,792.56/16,030.82
  6. Step 6: Final answer
    x = 10,904.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.