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Finding the Fourth Proportional to 15,737.23, 23,594.05 and 9,495.77

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Solution

The fourth proportional to 15,737.23, 23,594.05 and 9,495.77 is: 14,236.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,737.23 : 23,594.05 = 9,495.77 : x
  2. Step 2: Convert to fraction form
    15,737.23/23,594.05 = 9,495.77/x
  3. Step 3: Cross multiply
    15,737.23x = 23,594.05 × 9,495.77
  4. Step 4: Simplify right side
    15,737.23x = 224,043,566.07
  5. Step 5: Solve for x
    x = 224,043,566.07/15,737.23
  6. Step 6: Final answer
    x = 14,236.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.