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Finding the Fourth Proportional to 13,398.97, 18,490.29 and 7,430.51

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Solution

The fourth proportional to 13,398.97, 18,490.29 and 7,430.51 is: 10,253.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,398.97 : 18,490.29 = 7,430.51 : x
  2. Step 2: Convert to fraction form
    13,398.97/18,490.29 = 7,430.51/x
  3. Step 3: Cross multiply
    13,398.97x = 18,490.29 × 7,430.51
  4. Step 4: Simplify right side
    13,398.97x = 137,392,238.52
  5. Step 5: Solve for x
    x = 137,392,238.52/13,398.97
  6. Step 6: Final answer
    x = 10,253.94

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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.