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Finding the Fourth Proportional to 18,448.64, 27,681.05 and 9,681.50

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Solution

The fourth proportional to 18,448.64, 27,681.05 and 9,681.50 is: 14,526.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,448.64 : 27,681.05 = 9,681.50 : x
  2. Step 2: Convert to fraction form
    18,448.64/27,681.05 = 9,681.50/x
  3. Step 3: Cross multiply
    18,448.64x = 27,681.05 × 9,681.50
  4. Step 4: Simplify right side
    18,448.64x = 267,993,947.17
  5. Step 5: Solve for x
    x = 267,993,947.17/18,448.64
  6. Step 6: Final answer
    x = 14,526.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.