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Finding the Fourth Proportional to 13,403.14, 18,495.70 and 7,434.68

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Solution

The fourth proportional to 13,403.14, 18,495.70 and 7,434.68 is: 10,259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,403.14 : 18,495.70 = 7,434.68 : x
  2. Step 2: Convert to fraction form
    13,403.14/18,495.70 = 7,434.68/x
  3. Step 3: Cross multiply
    13,403.14x = 18,495.70 × 7,434.68
  4. Step 4: Simplify right side
    13,403.14x = 137,509,499.81
  5. Step 5: Solve for x
    x = 137,509,499.81/13,403.14
  6. Step 6: Final answer
    x = 10,259.50

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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.