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Finding the Fourth Proportional to 14,678.14, 20,259.12 and 11,485.12

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Solution

The fourth proportional to 14,678.14, 20,259.12 and 11,485.12 is: 15,852.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678.14 : 20,259.12 = 11,485.12 : x
  2. Step 2: Convert to fraction form
    14,678.14/20,259.12 = 11,485.12/x
  3. Step 3: Cross multiply
    14,678.14x = 20,259.12 × 11,485.12
  4. Step 4: Simplify right side
    14,678.14x = 232,678,424.29
  5. Step 5: Solve for x
    x = 232,678,424.29/14,678.14
  6. Step 6: Final answer
    x = 15,852.04

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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.