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Finding the Fourth Proportional to 14,113.86, 19,477.23 and 9,637.49

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Solution

The fourth proportional to 14,113.86, 19,477.23 and 9,637.49 is: 13,299.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.86 : 19,477.23 = 9,637.49 : x
  2. Step 2: Convert to fraction form
    14,113.86/19,477.23 = 9,637.49/x
  3. Step 3: Cross multiply
    14,113.86x = 19,477.23 × 9,637.49
  4. Step 4: Simplify right side
    14,113.86x = 187,711,621.91
  5. Step 5: Solve for x
    x = 187,711,621.91/14,113.86
  6. Step 6: Final answer
    x = 13,299.81

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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.