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Finding the Fourth Proportional to 14,294.90, 21,466.11 and 9,644.83

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Solution

The fourth proportional to 14,294.90, 21,466.11 and 9,644.83 is: 14,483.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,294.90 : 21,466.11 = 9,644.83 : x
  2. Step 2: Convert to fraction form
    14,294.90/21,466.11 = 9,644.83/x
  3. Step 3: Cross multiply
    14,294.90x = 21,466.11 × 9,644.83
  4. Step 4: Simplify right side
    14,294.90x = 207,036,981.71
  5. Step 5: Solve for x
    x = 207,036,981.71/14,294.90
  6. Step 6: Final answer
    x = 14,483.28

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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.