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Finding the Fourth Proportional to 17,737.34, 24,477.57 and 9,779.56

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Solution

The fourth proportional to 17,737.34, 24,477.57 and 9,779.56 is: 13,495.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.34 : 24,477.57 = 9,779.56 : x
  2. Step 2: Convert to fraction form
    17,737.34/24,477.57 = 9,779.56/x
  3. Step 3: Cross multiply
    17,737.34x = 24,477.57 × 9,779.56
  4. Step 4: Simplify right side
    17,737.34x = 239,379,953.01
  5. Step 5: Solve for x
    x = 239,379,953.01/17,737.34
  6. Step 6: Final answer
    x = 13,495.82

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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.