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Finding the Fourth Proportional to 13,554.25, 20,354.65 and 8,320

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Solution

The fourth proportional to 13,554.25, 20,354.65 and 8,320 is: 12,494.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,554.25 : 20,354.65 = 8,320 : x
  2. Step 2: Convert to fraction form
    13,554.25/20,354.65 = 8,320/x
  3. Step 3: Cross multiply
    13,554.25x = 20,354.65 × 8,320
  4. Step 4: Simplify right side
    13,554.25x = 169,350,688
  5. Step 5: Solve for x
    x = 169,350,688/13,554.25
  6. Step 6: Final answer
    x = 12,494.29

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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.