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Finding the Fourth Proportional to 12,128.84, 16,737.72 and 6,823.55

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Solution

The fourth proportional to 12,128.84, 16,737.72 and 6,823.55 is: 9,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128.84 : 16,737.72 = 6,823.55 : x
  2. Step 2: Convert to fraction form
    12,128.84/16,737.72 = 6,823.55/x
  3. Step 3: Cross multiply
    12,128.84x = 16,737.72 × 6,823.55
  4. Step 4: Simplify right side
    12,128.84x = 114,210,585.62
  5. Step 5: Solve for x
    x = 114,210,585.62/12,128.84
  6. Step 6: Final answer
    x = 9,416.45

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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.