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Finding the Fourth Proportional to 16,985.60, 25,474.08 and 5,300

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Solution

The fourth proportional to 16,985.60, 25,474.08 and 5,300 is: 7,948.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,985.60 : 25,474.08 = 5,300 : x
  2. Step 2: Convert to fraction form
    16,985.60/25,474.08 = 5,300/x
  3. Step 3: Cross multiply
    16,985.60x = 25,474.08 × 5,300
  4. Step 4: Simplify right side
    16,985.60x = 135,012,624
  5. Step 5: Solve for x
    x = 135,012,624/16,985.60
  6. Step 6: Final answer
    x = 7,948.65

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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.