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Finding the Fourth Proportional to 16,285.95, 24,420.42 and 7,513.38

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Solution

The fourth proportional to 16,285.95, 24,420.42 and 7,513.38 is: 11,266.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,285.95 : 24,420.42 = 7,513.38 : x
  2. Step 2: Convert to fraction form
    16,285.95/24,420.42 = 7,513.38/x
  3. Step 3: Cross multiply
    16,285.95x = 24,420.42 × 7,513.38
  4. Step 4: Simplify right side
    16,285.95x = 183,479,895.22
  5. Step 5: Solve for x
    x = 183,479,895.22/16,285.95
  6. Step 6: Final answer
    x = 11,266.15

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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.