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Finding the Fourth Proportional to 14,336.54, 19,784.14 and 7,962.80

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Solution

The fourth proportional to 14,336.54, 19,784.14 and 7,962.80 is: 10,988.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,336.54 : 19,784.14 = 7,962.80 : x
  2. Step 2: Convert to fraction form
    14,336.54/19,784.14 = 7,962.80/x
  3. Step 3: Cross multiply
    14,336.54x = 19,784.14 × 7,962.80
  4. Step 4: Simplify right side
    14,336.54x = 157,537,149.99
  5. Step 5: Solve for x
    x = 157,537,149.99/14,336.54
  6. Step 6: Final answer
    x = 10,988.51

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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.