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Finding the Fourth Proportional to 28,415.42, 42,593.40 and 9,688.90

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Solution

The fourth proportional to 28,415.42, 42,593.40 and 9,688.90 is: 14,523.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,415.42 : 42,593.40 = 9,688.90 : x
  2. Step 2: Convert to fraction form
    28,415.42/42,593.40 = 9,688.90/x
  3. Step 3: Cross multiply
    28,415.42x = 42,593.40 × 9,688.90
  4. Step 4: Simplify right side
    28,415.42x = 412,682,980.29
  5. Step 5: Solve for x
    x = 412,682,980.29/28,415.42
  6. Step 6: Final answer
    x = 14,523.21

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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.