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Finding the Fourth Proportional to 13,966.68, 19,271.88 and 7,997.16

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Solution

The fourth proportional to 13,966.68, 19,271.88 and 7,997.16 is: 11,034.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,966.68 : 19,271.88 = 7,997.16 : x
  2. Step 2: Convert to fraction form
    13,966.68/19,271.88 = 7,997.16/x
  3. Step 3: Cross multiply
    13,966.68x = 19,271.88 × 7,997.16
  4. Step 4: Simplify right side
    13,966.68x = 154,120,307.86
  5. Step 5: Solve for x
    x = 154,120,307.86/13,966.68
  6. Step 6: Final answer
    x = 11,034.86

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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.