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Finding the Fourth Proportional to 12,346.40, 17,036.16 and 7,040.96

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Solution

The fourth proportional to 12,346.40, 17,036.16 and 7,040.96 is: 9,715.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.40 : 17,036.16 = 7,040.96 : x
  2. Step 2: Convert to fraction form
    12,346.40/17,036.16 = 7,040.96/x
  3. Step 3: Cross multiply
    12,346.40x = 17,036.16 × 7,040.96
  4. Step 4: Simplify right side
    12,346.40x = 119,950,921.11
  5. Step 5: Solve for x
    x = 119,950,921.11/12,346.40
  6. Step 6: Final answer
    x = 9,715.46

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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.