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Finding the Fourth Proportional to 13,452.51, 18,564.21 and 7,484.16

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Solution

The fourth proportional to 13,452.51, 18,564.21 and 7,484.16 is: 10,328.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,452.51 : 18,564.21 = 7,484.16 : x
  2. Step 2: Convert to fraction form
    13,452.51/18,564.21 = 7,484.16/x
  3. Step 3: Cross multiply
    13,452.51x = 18,564.21 × 7,484.16
  4. Step 4: Simplify right side
    13,452.51x = 138,937,517.91
  5. Step 5: Solve for x
    x = 138,937,517.91/13,452.51
  6. Step 6: Final answer
    x = 10,328.00

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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.