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Finding the Fourth Proportional to 13,984.31, 19,298.05 and 7,611.02

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Solution

The fourth proportional to 13,984.31, 19,298.05 and 7,611.02 is: 10,503.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984.31 : 19,298.05 = 7,611.02 : x
  2. Step 2: Convert to fraction form
    13,984.31/19,298.05 = 7,611.02/x
  3. Step 3: Cross multiply
    13,984.31x = 19,298.05 × 7,611.02
  4. Step 4: Simplify right side
    13,984.31x = 146,877,844.51
  5. Step 5: Solve for x
    x = 146,877,844.51/13,984.31
  6. Step 6: Final answer
    x = 10,503.05

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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.