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Finding the Fourth Proportional to 13,967.74, 19,275.86 and 7,594.76

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Solution

The fourth proportional to 13,967.74, 19,275.86 and 7,594.76 is: 10,480.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.74 : 19,275.86 = 7,594.76 : x
  2. Step 2: Convert to fraction form
    13,967.74/19,275.86 = 7,594.76/x
  3. Step 3: Cross multiply
    13,967.74x = 19,275.86 × 7,594.76
  4. Step 4: Simplify right side
    13,967.74x = 146,395,530.49
  5. Step 5: Solve for x
    x = 146,395,530.49/13,967.74
  6. Step 6: Final answer
    x = 10,480.97

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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.