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Finding the Fourth Proportional to 17,737.47, 24,477.24 and 9,779.56

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Solution

The fourth proportional to 17,737.47, 24,477.24 and 9,779.56 is: 13,495.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.47 : 24,477.24 = 9,779.56 : x
  2. Step 2: Convert to fraction form
    17,737.47/24,477.24 = 9,779.56/x
  3. Step 3: Cross multiply
    17,737.47x = 24,477.24 × 9,779.56
  4. Step 4: Simplify right side
    17,737.47x = 239,376,637.21
  5. Step 5: Solve for x
    x = 239,376,637.21/17,737.47
  6. Step 6: Final answer
    x = 13,495.53

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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.