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Finding the Fourth Proportional to 25,680, 35,438.40 and 14,502

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Solution

The fourth proportional to 25,680, 35,438.40 and 14,502 is: 20,012.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,680 : 35,438.40 = 14,502 : x
  2. Step 2: Convert to fraction form
    25,680/35,438.40 = 14,502/x
  3. Step 3: Cross multiply
    25,680x = 35,438.40 × 14,502
  4. Step 4: Simplify right side
    25,680x = 513,927,676.80
  5. Step 5: Solve for x
    x = 513,927,676.80/25,680
  6. Step 6: Final answer
    x = 20,012.76

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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.