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Finding the Fourth Proportional to 15,429.80, 23,153.10 and 8,409.40

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Solution

The fourth proportional to 15,429.80, 23,153.10 and 8,409.40 is: 12,618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,429.80 : 23,153.10 = 8,409.40 : x
  2. Step 2: Convert to fraction form
    15,429.80/23,153.10 = 8,409.40/x
  3. Step 3: Cross multiply
    15,429.80x = 23,153.10 × 8,409.40
  4. Step 4: Simplify right side
    15,429.80x = 194,703,679.14
  5. Step 5: Solve for x
    x = 194,703,679.14/15,429.80
  6. Step 6: Final answer
    x = 12,618.68

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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.