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Finding the Fourth Proportional to 14,442.94, 21,665.18 and 4,583

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Solution

The fourth proportional to 14,442.94, 21,665.18 and 4,583 is: 6,874.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,442.94 : 21,665.18 = 4,583 : x
  2. Step 2: Convert to fraction form
    14,442.94/21,665.18 = 4,583/x
  3. Step 3: Cross multiply
    14,442.94x = 21,665.18 × 4,583
  4. Step 4: Simplify right side
    14,442.94x = 99,291,519.94
  5. Step 5: Solve for x
    x = 99,291,519.94/14,442.94
  6. Step 6: Final answer
    x = 6,874.74

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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.