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Finding the Fourth Proportional to 13,773.84, 19,008.18 and 7,486.62

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Solution

The fourth proportional to 13,773.84, 19,008.18 and 7,486.62 is: 10,331.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.84 : 19,008.18 = 7,486.62 : x
  2. Step 2: Convert to fraction form
    13,773.84/19,008.18 = 7,486.62/x
  3. Step 3: Cross multiply
    13,773.84x = 19,008.18 × 7,486.62
  4. Step 4: Simplify right side
    13,773.84x = 142,307,020.55
  5. Step 5: Solve for x
    x = 142,307,020.55/13,773.84
  6. Step 6: Final answer
    x = 10,331.69

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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.