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Finding the Fourth Proportional to 12,328.93, 18,506.56 and 5,312.41

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Solution

The fourth proportional to 12,328.93, 18,506.56 and 5,312.41 is: 7,974.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,328.93 : 18,506.56 = 5,312.41 : x
  2. Step 2: Convert to fraction form
    12,328.93/18,506.56 = 5,312.41/x
  3. Step 3: Cross multiply
    12,328.93x = 18,506.56 × 5,312.41
  4. Step 4: Simplify right side
    12,328.93x = 98,314,366.21
  5. Step 5: Solve for x
    x = 98,314,366.21/12,328.93
  6. Step 6: Final answer
    x = 7,974.28

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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.