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Finding the Fourth Proportional to 15,637.86, 23,453.99 and 7,737.83

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Solution

The fourth proportional to 15,637.86, 23,453.99 and 7,737.83 is: 11,605.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,637.86 : 23,453.99 = 7,737.83 : x
  2. Step 2: Convert to fraction form
    15,637.86/23,453.99 = 7,737.83/x
  3. Step 3: Cross multiply
    15,637.86x = 23,453.99 × 7,737.83
  4. Step 4: Simplify right side
    15,637.86x = 181,482,948.45
  5. Step 5: Solve for x
    x = 181,482,948.45/15,637.86
  6. Step 6: Final answer
    x = 11,605.36

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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.