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Finding the Fourth Proportional to 16,312.86, 22,509.09 and 9,237.78

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Solution

The fourth proportional to 16,312.86, 22,509.09 and 9,237.78 is: 12,746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,312.86 : 22,509.09 = 9,237.78 : x
  2. Step 2: Convert to fraction form
    16,312.86/22,509.09 = 9,237.78/x
  3. Step 3: Cross multiply
    16,312.86x = 22,509.09 × 9,237.78
  4. Step 4: Simplify right side
    16,312.86x = 207,934,021.42
  5. Step 5: Solve for x
    x = 207,934,021.42/16,312.86
  6. Step 6: Final answer
    x = 12,746.63

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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.