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Finding the Fourth Proportional to 13,967.52, 19,275.24 and 7,680.30

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Solution

The fourth proportional to 13,967.52, 19,275.24 and 7,680.30 is: 10,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.52 : 19,275.24 = 7,680.30 : x
  2. Step 2: Convert to fraction form
    13,967.52/19,275.24 = 7,680.30/x
  3. Step 3: Cross multiply
    13,967.52x = 19,275.24 × 7,680.30
  4. Step 4: Simplify right side
    13,967.52x = 148,039,625.77
  5. Step 5: Solve for x
    x = 148,039,625.77/13,967.52
  6. Step 6: Final answer
    x = 10,598.85

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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.