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Finding the Fourth Proportional to 13,967.69, 19,274.92 and 7,680.02

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Solution

The fourth proportional to 13,967.69, 19,274.92 and 7,680.02 is: 10,598.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.69 : 19,274.92 = 7,680.02 : x
  2. Step 2: Convert to fraction form
    13,967.69/19,274.92 = 7,680.02/x
  3. Step 3: Cross multiply
    13,967.69x = 19,274.92 × 7,680.02
  4. Step 4: Simplify right side
    13,967.69x = 148,031,655.52
  5. Step 5: Solve for x
    x = 148,031,655.52/13,967.69
  6. Step 6: Final answer
    x = 10,598.15

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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.