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Finding the Fourth Proportional to 14,923.66, 22,382.74 and 6,038.50

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Solution

The fourth proportional to 14,923.66, 22,382.74 and 6,038.50 is: 9,056.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,923.66 : 22,382.74 = 6,038.50 : x
  2. Step 2: Convert to fraction form
    14,923.66/22,382.74 = 6,038.50/x
  3. Step 3: Cross multiply
    14,923.66x = 22,382.74 × 6,038.50
  4. Step 4: Simplify right side
    14,923.66x = 135,158,175.49
  5. Step 5: Solve for x
    x = 135,158,175.49/14,923.66
  6. Step 6: Final answer
    x = 9,056.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.