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Finding the Fourth Proportional to 14,013.86, 19,335.69 and 7,962.75

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Solution

The fourth proportional to 14,013.86, 19,335.69 and 7,962.75 is: 10,986.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,013.86 : 19,335.69 = 7,962.75 : x
  2. Step 2: Convert to fraction form
    14,013.86/19,335.69 = 7,962.75/x
  3. Step 3: Cross multiply
    14,013.86x = 19,335.69 × 7,962.75
  4. Step 4: Simplify right side
    14,013.86x = 153,965,265.55
  5. Step 5: Solve for x
    x = 153,965,265.55/14,013.86
  6. Step 6: Final answer
    x = 10,986.65

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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.