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Finding the Fourth Proportional to 12,438.39, 18,645.29 and 5,038.16

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Solution

The fourth proportional to 12,438.39, 18,645.29 and 5,038.16 is: 7,552.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.39 : 18,645.29 = 5,038.16 : x
  2. Step 2: Convert to fraction form
    12,438.39/18,645.29 = 5,038.16/x
  3. Step 3: Cross multiply
    12,438.39x = 18,645.29 × 5,038.16
  4. Step 4: Simplify right side
    12,438.39x = 93,937,954.27
  5. Step 5: Solve for x
    x = 93,937,954.27/12,438.39
  6. Step 6: Final answer
    x = 7,552.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.