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Finding the Fourth Proportional to 16,986.54, 25,470 and 6,586.14

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Solution

The fourth proportional to 16,986.54, 25,470 and 6,586.14 is: 9,875.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,986.54 : 25,470 = 6,586.14 : x
  2. Step 2: Convert to fraction form
    16,986.54/25,470 = 6,586.14/x
  3. Step 3: Cross multiply
    16,986.54x = 25,470 × 6,586.14
  4. Step 4: Simplify right side
    16,986.54x = 167,748,985.80
  5. Step 5: Solve for x
    x = 167,748,985.80/16,986.54
  6. Step 6: Final answer
    x = 9,875.41

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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.