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Finding the Fourth Proportional to 14,783.64, 20,405.94 and 9,120.14

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Solution

The fourth proportional to 14,783.64, 20,405.94 and 9,120.14 is: 12,588.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,783.64 : 20,405.94 = 9,120.14 : x
  2. Step 2: Convert to fraction form
    14,783.64/20,405.94 = 9,120.14/x
  3. Step 3: Cross multiply
    14,783.64x = 20,405.94 × 9,120.14
  4. Step 4: Simplify right side
    14,783.64x = 186,105,029.63
  5. Step 5: Solve for x
    x = 186,105,029.63/14,783.64
  6. Step 6: Final answer
    x = 12,588.58

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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.