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Finding the Fourth Proportional to 14,477.86, 19,975.03 and 9,440.27

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Solution

The fourth proportional to 14,477.86, 19,975.03 and 9,440.27 is: 13,024.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,477.86 : 19,975.03 = 9,440.27 : x
  2. Step 2: Convert to fraction form
    14,477.86/19,975.03 = 9,440.27/x
  3. Step 3: Cross multiply
    14,477.86x = 19,975.03 × 9,440.27
  4. Step 4: Simplify right side
    14,477.86x = 188,569,676.46
  5. Step 5: Solve for x
    x = 188,569,676.46/14,477.86
  6. Step 6: Final answer
    x = 13,024.69

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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.