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Finding the Fourth Proportional to 13,402.30, 18,495.30 and 7,434.46

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Solution

The fourth proportional to 13,402.30, 18,495.30 and 7,434.46 is: 10,259.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.30 : 18,495.30 = 7,434.46 : x
  2. Step 2: Convert to fraction form
    13,402.30/18,495.30 = 7,434.46/x
  3. Step 3: Cross multiply
    13,402.30x = 18,495.30 × 7,434.46
  4. Step 4: Simplify right side
    13,402.30x = 137,502,568.04
  5. Step 5: Solve for x
    x = 137,502,568.04/13,402.30
  6. Step 6: Final answer
    x = 10,259.62

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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.