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Finding the Fourth Proportional to 10,316.49, 14,309.59 and 10,043.05

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Solution

The fourth proportional to 10,316.49, 14,309.59 and 10,043.05 is: 13,930.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316.49 : 14,309.59 = 10,043.05 : x
  2. Step 2: Convert to fraction form
    10,316.49/14,309.59 = 10,043.05/x
  3. Step 3: Cross multiply
    10,316.49x = 14,309.59 × 10,043.05
  4. Step 4: Simplify right side
    10,316.49x = 143,711,968.41
  5. Step 5: Solve for x
    x = 143,711,968.41/10,316.49
  6. Step 6: Final answer
    x = 13,930.31

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.