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Finding the Fourth Proportional to 14,452.29, 21,676.86 and 9,802.17

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Solution

The fourth proportional to 14,452.29, 21,676.86 and 9,802.17 is: 14,702.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,452.29 : 21,676.86 = 9,802.17 : x
  2. Step 2: Convert to fraction form
    14,452.29/21,676.86 = 9,802.17/x
  3. Step 3: Cross multiply
    14,452.29x = 21,676.86 × 9,802.17
  4. Step 4: Simplify right side
    14,452.29x = 212,480,266.79
  5. Step 5: Solve for x
    x = 212,480,266.79/14,452.29
  6. Step 6: Final answer
    x = 14,702.19

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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.