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Finding the Fourth Proportional to 13,518.16, 18,652.28 and 8,210.03

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Solution

The fourth proportional to 13,518.16, 18,652.28 and 8,210.03 is: 11,328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,518.16 : 18,652.28 = 8,210.03 : x
  2. Step 2: Convert to fraction form
    13,518.16/18,652.28 = 8,210.03/x
  3. Step 3: Cross multiply
    13,518.16x = 18,652.28 × 8,210.03
  4. Step 4: Simplify right side
    13,518.16x = 153,135,644.06
  5. Step 5: Solve for x
    x = 153,135,644.06/13,518.16
  6. Step 6: Final answer
    x = 11,328.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.