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Finding the Fourth Proportional to 13,577.81, 18,713.95 and 9,032.36

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Solution

The fourth proportional to 13,577.81, 18,713.95 and 9,032.36 is: 12,449.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,577.81 : 18,713.95 = 9,032.36 : x
  2. Step 2: Convert to fraction form
    13,577.81/18,713.95 = 9,032.36/x
  3. Step 3: Cross multiply
    13,577.81x = 18,713.95 × 9,032.36
  4. Step 4: Simplify right side
    13,577.81x = 169,031,017.27
  5. Step 5: Solve for x
    x = 169,031,017.27/13,577.81
  6. Step 6: Final answer
    x = 12,449.07

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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.