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Finding the Fourth Proportional to 14,442.84, 21,643.72 and 6,427.80

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Solution

The fourth proportional to 14,442.84, 21,643.72 and 6,427.80 is: 9,632.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,442.84 : 21,643.72 = 6,427.80 : x
  2. Step 2: Convert to fraction form
    14,442.84/21,643.72 = 6,427.80/x
  3. Step 3: Cross multiply
    14,442.84x = 21,643.72 × 6,427.80
  4. Step 4: Simplify right side
    14,442.84x = 139,121,503.42
  5. Step 5: Solve for x
    x = 139,121,503.42/14,442.84
  6. Step 6: Final answer
    x = 9,632.56

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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.