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Finding the Fourth Proportional to 14,466.89, 21,675.55 and 9,714.15

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Solution

The fourth proportional to 14,466.89, 21,675.55 and 9,714.15 is: 14,554.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,466.89 : 21,675.55 = 9,714.15 : x
  2. Step 2: Convert to fraction form
    14,466.89/21,675.55 = 9,714.15/x
  3. Step 3: Cross multiply
    14,466.89x = 21,675.55 × 9,714.15
  4. Step 4: Simplify right side
    14,466.89x = 210,559,544.03
  5. Step 5: Solve for x
    x = 210,559,544.03/14,466.89
  6. Step 6: Final answer
    x = 14,554.58

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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.