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Finding the Fourth Proportional to 13,400.53, 18,497.52 and 9,148.54

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Solution

The fourth proportional to 13,400.53, 18,497.52 and 9,148.54 is: 12,628.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.53 : 18,497.52 = 9,148.54 : x
  2. Step 2: Convert to fraction form
    13,400.53/18,497.52 = 9,148.54/x
  3. Step 3: Cross multiply
    13,400.53x = 18,497.52 × 9,148.54
  4. Step 4: Simplify right side
    13,400.53x = 169,225,301.62
  5. Step 5: Solve for x
    x = 169,225,301.62/13,400.53
  6. Step 6: Final answer
    x = 12,628.25

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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.