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Finding the Fourth Proportional to 14,377.64, 19,840.94 and 8,090

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Solution

The fourth proportional to 14,377.64, 19,840.94 and 8,090 is: 11,164.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,377.64 : 19,840.94 = 8,090 : x
  2. Step 2: Convert to fraction form
    14,377.64/19,840.94 = 8,090/x
  3. Step 3: Cross multiply
    14,377.64x = 19,840.94 × 8,090
  4. Step 4: Simplify right side
    14,377.64x = 160,513,204.60
  5. Step 5: Solve for x
    x = 160,513,204.60/14,377.64
  6. Step 6: Final answer
    x = 11,164.09

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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.