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Finding the Fourth Proportional to 13,159.88, 19,741.14 and 4,274.84

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Solution

The fourth proportional to 13,159.88, 19,741.14 and 4,274.84 is: 6,412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,159.88 : 19,741.14 = 4,274.84 : x
  2. Step 2: Convert to fraction form
    13,159.88/19,741.14 = 4,274.84/x
  3. Step 3: Cross multiply
    13,159.88x = 19,741.14 × 4,274.84
  4. Step 4: Simplify right side
    13,159.88x = 84,390,116.21
  5. Step 5: Solve for x
    x = 84,390,116.21/13,159.88
  6. Step 6: Final answer
    x = 6,412.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.