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Finding the Fourth Proportional to 17,737.10, 24,476.82 and 9,779.34

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Solution

The fourth proportional to 17,737.10, 24,476.82 and 9,779.34 is: 13,495.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.10 : 24,476.82 = 9,779.34 : x
  2. Step 2: Convert to fraction form
    17,737.10/24,476.82 = 9,779.34/x
  3. Step 3: Cross multiply
    17,737.10x = 24,476.82 × 9,779.34
  4. Step 4: Simplify right side
    17,737.10x = 239,367,144.90
  5. Step 5: Solve for x
    x = 239,367,144.90/17,737.10
  6. Step 6: Final answer
    x = 13,495.28

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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.