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Finding the Fourth Proportional to 16,650.95, 24,967.54 and 7,280

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Solution

The fourth proportional to 16,650.95, 24,967.54 and 7,280 is: 10,916.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,650.95 : 24,967.54 = 7,280 : x
  2. Step 2: Convert to fraction form
    16,650.95/24,967.54 = 7,280/x
  3. Step 3: Cross multiply
    16,650.95x = 24,967.54 × 7,280
  4. Step 4: Simplify right side
    16,650.95x = 181,763,691.20
  5. Step 5: Solve for x
    x = 181,763,691.20/16,650.95
  6. Step 6: Final answer
    x = 10,916.12

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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.