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Finding the Fourth Proportional to 10,589.80, 15,852.30 and 9,423.40

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Solution

The fourth proportional to 10,589.80, 15,852.30 and 9,423.40 is: 14,106.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.80 : 15,852.30 = 9,423.40 : x
  2. Step 2: Convert to fraction form
    10,589.80/15,852.30 = 9,423.40/x
  3. Step 3: Cross multiply
    10,589.80x = 15,852.30 × 9,423.40
  4. Step 4: Simplify right side
    10,589.80x = 149,382,563.82
  5. Step 5: Solve for x
    x = 149,382,563.82/10,589.80
  6. Step 6: Final answer
    x = 14,106.27

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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.