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Finding the Fourth Proportional to 14,011.58, 19,335.75 and 7,724.54

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Solution

The fourth proportional to 14,011.58, 19,335.75 and 7,724.54 is: 10,659.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,011.58 : 19,335.75 = 7,724.54 : x
  2. Step 2: Convert to fraction form
    14,011.58/19,335.75 = 7,724.54/x
  3. Step 3: Cross multiply
    14,011.58x = 19,335.75 × 7,724.54
  4. Step 4: Simplify right side
    14,011.58x = 149,359,774.31
  5. Step 5: Solve for x
    x = 149,359,774.31/14,011.58
  6. Step 6: Final answer
    x = 10,659.74

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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.