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Finding the Fourth Proportional to 13,547.25, 20,359.08 and 8,003.07

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Solution

The fourth proportional to 13,547.25, 20,359.08 and 8,003.07 is: 12,027.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.25 : 20,359.08 = 8,003.07 : x
  2. Step 2: Convert to fraction form
    13,547.25/20,359.08 = 8,003.07/x
  3. Step 3: Cross multiply
    13,547.25x = 20,359.08 × 8,003.07
  4. Step 4: Simplify right side
    13,547.25x = 162,935,142.38
  5. Step 5: Solve for x
    x = 162,935,142.38/13,547.25
  6. Step 6: Final answer
    x = 12,027.17

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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.