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Finding the Fourth Proportional to 13,984.39, 19,298.82 and 7,611.40

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Solution

The fourth proportional to 13,984.39, 19,298.82 and 7,611.40 is: 10,503.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984.39 : 19,298.82 = 7,611.40 : x
  2. Step 2: Convert to fraction form
    13,984.39/19,298.82 = 7,611.40/x
  3. Step 3: Cross multiply
    13,984.39x = 19,298.82 × 7,611.40
  4. Step 4: Simplify right side
    13,984.39x = 146,891,038.55
  5. Step 5: Solve for x
    x = 146,891,038.55/13,984.39
  6. Step 6: Final answer
    x = 10,503.93

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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.