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Finding the Fourth Proportional to 13,967.88, 19,275.48 and 7,680.66

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Solution

The fourth proportional to 13,967.88, 19,275.48 and 7,680.66 is: 10,599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.88 : 19,275.48 = 7,680.66 : x
  2. Step 2: Convert to fraction form
    13,967.88/19,275.48 = 7,680.66/x
  3. Step 3: Cross multiply
    13,967.88x = 19,275.48 × 7,680.66
  4. Step 4: Simplify right side
    13,967.88x = 148,048,408.22
  5. Step 5: Solve for x
    x = 148,048,408.22/13,967.88
  6. Step 6: Final answer
    x = 10,599.20

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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.