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Finding the Fourth Proportional to 14,042.88, 19,376.64 and 9,072

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Solution

The fourth proportional to 14,042.88, 19,376.64 and 9,072 is: 12,517.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,042.88 : 19,376.64 = 9,072 : x
  2. Step 2: Convert to fraction form
    14,042.88/19,376.64 = 9,072/x
  3. Step 3: Cross multiply
    14,042.88x = 19,376.64 × 9,072
  4. Step 4: Simplify right side
    14,042.88x = 175,784,878.08
  5. Step 5: Solve for x
    x = 175,784,878.08/14,042.88
  6. Step 6: Final answer
    x = 12,517.72

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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.