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Finding the Fourth Proportional to 17,737.31, 24,477.59 and 9,779.40

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Solution

The fourth proportional to 17,737.31, 24,477.59 and 9,779.40 is: 13,495.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.31 : 24,477.59 = 9,779.40 : x
  2. Step 2: Convert to fraction form
    17,737.31/24,477.59 = 9,779.40/x
  3. Step 3: Cross multiply
    17,737.31x = 24,477.59 × 9,779.40
  4. Step 4: Simplify right side
    17,737.31x = 239,376,168.09
  5. Step 5: Solve for x
    x = 239,376,168.09/17,737.31
  6. Step 6: Final answer
    x = 13,495.63

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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.