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Finding the Fourth Proportional to 14,737.86, 22,106.82 and 12,135.32

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Solution

The fourth proportional to 14,737.86, 22,106.82 and 12,135.32 is: 18,203.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,737.86 : 22,106.82 = 12,135.32 : x
  2. Step 2: Convert to fraction form
    14,737.86/22,106.82 = 12,135.32/x
  3. Step 3: Cross multiply
    14,737.86x = 22,106.82 × 12,135.32
  4. Step 4: Simplify right side
    14,737.86x = 268,273,334.88
  5. Step 5: Solve for x
    x = 268,273,334.88/14,737.86
  6. Step 6: Final answer
    x = 18,203.00

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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.