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Finding the Fourth Proportional to 14,647.67, 21,971.10 and 4,784.30

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Solution

The fourth proportional to 14,647.67, 21,971.10 and 4,784.30 is: 7,176.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,647.67 : 21,971.10 = 4,784.30 : x
  2. Step 2: Convert to fraction form
    14,647.67/21,971.10 = 4,784.30/x
  3. Step 3: Cross multiply
    14,647.67x = 21,971.10 × 4,784.30
  4. Step 4: Simplify right side
    14,647.67x = 105,116,333.73
  5. Step 5: Solve for x
    x = 105,116,333.73/14,647.67
  6. Step 6: Final answer
    x = 7,176.32

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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.