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Finding the Fourth Proportional to 14,301.12, 21,457.80 and 5,983.08

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Solution

The fourth proportional to 14,301.12, 21,457.80 and 5,983.08 is: 8,977.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,301.12 : 21,457.80 = 5,983.08 : x
  2. Step 2: Convert to fraction form
    14,301.12/21,457.80 = 5,983.08/x
  3. Step 3: Cross multiply
    14,301.12x = 21,457.80 × 5,983.08
  4. Step 4: Simplify right side
    14,301.12x = 128,383,734.02
  5. Step 5: Solve for x
    x = 128,383,734.02/14,301.12
  6. Step 6: Final answer
    x = 8,977.18

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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.