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Finding the Fourth Proportional to 14,428.53, 19,905.35 and 9,714.33

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Solution

The fourth proportional to 14,428.53, 19,905.35 and 9,714.33 is: 13,401.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,428.53 : 19,905.35 = 9,714.33 : x
  2. Step 2: Convert to fraction form
    14,428.53/19,905.35 = 9,714.33/x
  3. Step 3: Cross multiply
    14,428.53x = 19,905.35 × 9,714.33
  4. Step 4: Simplify right side
    14,428.53x = 193,367,090.09
  5. Step 5: Solve for x
    x = 193,367,090.09/14,428.53
  6. Step 6: Final answer
    x = 13,401.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.