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Finding the Fourth Proportional to 14,442.41, 21,664.38 and 4,582.47

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Solution

The fourth proportional to 14,442.41, 21,664.38 and 4,582.47 is: 6,873.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,442.41 : 21,664.38 = 4,582.47 : x
  2. Step 2: Convert to fraction form
    14,442.41/21,664.38 = 4,582.47/x
  3. Step 3: Cross multiply
    14,442.41x = 21,664.38 × 4,582.47
  4. Step 4: Simplify right side
    14,442.41x = 99,276,371.42
  5. Step 5: Solve for x
    x = 99,276,371.42/14,442.41
  6. Step 6: Final answer
    x = 6,873.95

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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.