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Finding the Fourth Proportional to 12,313.90, 16,988.96 and 7,007.39

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Solution

The fourth proportional to 12,313.90, 16,988.96 and 7,007.39 is: 9,667.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,313.90 : 16,988.96 = 7,007.39 : x
  2. Step 2: Convert to fraction form
    12,313.90/16,988.96 = 7,007.39/x
  3. Step 3: Cross multiply
    12,313.90x = 16,988.96 × 7,007.39
  4. Step 4: Simplify right side
    12,313.90x = 119,048,268.41
  5. Step 5: Solve for x
    x = 119,048,268.41/12,313.90
  6. Step 6: Final answer
    x = 9,667.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.