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Finding the Fourth Proportional to 12,328.51, 18,492.90 and 3,563.50

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Solution

The fourth proportional to 12,328.51, 18,492.90 and 3,563.50 is: 5,345.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,328.51 : 18,492.90 = 3,563.50 : x
  2. Step 2: Convert to fraction form
    12,328.51/18,492.90 = 3,563.50/x
  3. Step 3: Cross multiply
    12,328.51x = 18,492.90 × 3,563.50
  4. Step 4: Simplify right side
    12,328.51x = 65,899,449.15
  5. Step 5: Solve for x
    x = 65,899,449.15/12,328.51
  6. Step 6: Final answer
    x = 5,345.29

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Why These Related Problems?

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