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Finding the Fourth Proportional to 13,011.74, 17,956.18 and 7,347.68

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Solution

The fourth proportional to 13,011.74, 17,956.18 and 7,347.68 is: 10,139.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011.74 : 17,956.18 = 7,347.68 : x
  2. Step 2: Convert to fraction form
    13,011.74/17,956.18 = 7,347.68/x
  3. Step 3: Cross multiply
    13,011.74x = 17,956.18 × 7,347.68
  4. Step 4: Simplify right side
    13,011.74x = 131,936,264.66
  5. Step 5: Solve for x
    x = 131,936,264.66/13,011.74
  6. Step 6: Final answer
    x = 10,139.79

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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.