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Finding the Fourth Proportional to 16,411.72, 22,647.86 and 9,337.98

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Solution

The fourth proportional to 16,411.72, 22,647.86 and 9,337.98 is: 12,886.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.72 : 22,647.86 = 9,337.98 : x
  2. Step 2: Convert to fraction form
    16,411.72/22,647.86 = 9,337.98/x
  3. Step 3: Cross multiply
    16,411.72x = 22,647.86 × 9,337.98
  4. Step 4: Simplify right side
    16,411.72x = 211,485,263.72
  5. Step 5: Solve for x
    x = 211,485,263.72/16,411.72
  6. Step 6: Final answer
    x = 12,886.23

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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.