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Finding the Fourth Proportional to 20,584.17, 30,875.54 and 8,730.32

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Solution

The fourth proportional to 20,584.17, 30,875.54 and 8,730.32 is: 13,095.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,584.17 : 30,875.54 = 8,730.32 : x
  2. Step 2: Convert to fraction form
    20,584.17/30,875.54 = 8,730.32/x
  3. Step 3: Cross multiply
    20,584.17x = 30,875.54 × 8,730.32
  4. Step 4: Simplify right side
    20,584.17x = 269,553,146.34
  5. Step 5: Solve for x
    x = 269,553,146.34/20,584.17
  6. Step 6: Final answer
    x = 13,095.17

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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.