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Finding the Fourth Proportional to 14,647.84, 21,980.40 and 5,420.32

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Solution

The fourth proportional to 14,647.84, 21,980.40 and 5,420.32 is: 8,133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,647.84 : 21,980.40 = 5,420.32 : x
  2. Step 2: Convert to fraction form
    14,647.84/21,980.40 = 5,420.32/x
  3. Step 3: Cross multiply
    14,647.84x = 21,980.40 × 5,420.32
  4. Step 4: Simplify right side
    14,647.84x = 119,140,801.73
  5. Step 5: Solve for x
    x = 119,140,801.73/14,647.84
  6. Step 6: Final answer
    x = 8,133.68

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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.