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Finding the Fourth Proportional to 13,424.64, 18,525.68 and 7,456.16

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Solution

The fourth proportional to 13,424.64, 18,525.68 and 7,456.16 is: 10,289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424.64 : 18,525.68 = 7,456.16 : x
  2. Step 2: Convert to fraction form
    13,424.64/18,525.68 = 7,456.16/x
  3. Step 3: Cross multiply
    13,424.64x = 18,525.68 × 7,456.16
  4. Step 4: Simplify right side
    13,424.64x = 138,130,434.19
  5. Step 5: Solve for x
    x = 138,130,434.19/13,424.64
  6. Step 6: Final answer
    x = 10,289.32

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