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Finding the Fourth Proportional to 14,497.44, 20,004.56 and 9,182.88

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Solution

The fourth proportional to 14,497.44, 20,004.56 and 9,182.88 is: 12,671.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.44 : 20,004.56 = 9,182.88 : x
  2. Step 2: Convert to fraction form
    14,497.44/20,004.56 = 9,182.88/x
  3. Step 3: Cross multiply
    14,497.44x = 20,004.56 × 9,182.88
  4. Step 4: Simplify right side
    14,497.44x = 183,699,473.93
  5. Step 5: Solve for x
    x = 183,699,473.93/14,497.44
  6. Step 6: Final answer
    x = 12,671.17

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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.