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Finding the Fourth Proportional to 14,094.10, 21,141.13 and 5,774.13

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Solution

The fourth proportional to 14,094.10, 21,141.13 and 5,774.13 is: 8,661.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,094.10 : 21,141.13 = 5,774.13 : x
  2. Step 2: Convert to fraction form
    14,094.10/21,141.13 = 5,774.13/x
  3. Step 3: Cross multiply
    14,094.10x = 21,141.13 × 5,774.13
  4. Step 4: Simplify right side
    14,094.10x = 122,071,632.97
  5. Step 5: Solve for x
    x = 122,071,632.97/14,094.10
  6. Step 6: Final answer
    x = 8,661.19

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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.