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Finding the Fourth Proportional to 13,726.08, 18,935.10 and 9,008.64

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Solution

The fourth proportional to 13,726.08, 18,935.10 and 9,008.64 is: 12,427.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726.08 : 18,935.10 = 9,008.64 : x
  2. Step 2: Convert to fraction form
    13,726.08/18,935.10 = 9,008.64/x
  3. Step 3: Cross multiply
    13,726.08x = 18,935.10 × 9,008.64
  4. Step 4: Simplify right side
    13,726.08x = 170,579,499.26
  5. Step 5: Solve for x
    x = 170,579,499.26/13,726.08
  6. Step 6: Final answer
    x = 12,427.40

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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.