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Finding the Fourth Proportional to 14,659.48, 20,230.74 and 10,415.08

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Solution

The fourth proportional to 14,659.48, 20,230.74 and 10,415.08 is: 14,373.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,659.48 : 20,230.74 = 10,415.08 : x
  2. Step 2: Convert to fraction form
    14,659.48/20,230.74 = 10,415.08/x
  3. Step 3: Cross multiply
    14,659.48x = 20,230.74 × 10,415.08
  4. Step 4: Simplify right side
    14,659.48x = 210,704,775.56
  5. Step 5: Solve for x
    x = 210,704,775.56/14,659.48
  6. Step 6: Final answer
    x = 14,373.28

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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.