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Finding the Fourth Proportional to 17,737.91, 24,477.35 and 9,779.51

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Solution

The fourth proportional to 17,737.91, 24,477.35 and 9,779.51 is: 13,495.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.91 : 24,477.35 = 9,779.51 : x
  2. Step 2: Convert to fraction form
    17,737.91/24,477.35 = 9,779.51/x
  3. Step 3: Cross multiply
    17,737.91x = 24,477.35 × 9,779.51
  4. Step 4: Simplify right side
    17,737.91x = 239,376,501.31
  5. Step 5: Solve for x
    x = 239,376,501.31/17,737.91
  6. Step 6: Final answer
    x = 13,495.19

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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.