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Finding the Fourth Proportional to 15,328.40, 23,014.20 and 9,496.40

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Solution

The fourth proportional to 15,328.40, 23,014.20 and 9,496.40 is: 14,257.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,328.40 : 23,014.20 = 9,496.40 : x
  2. Step 2: Convert to fraction form
    15,328.40/23,014.20 = 9,496.40/x
  3. Step 3: Cross multiply
    15,328.40x = 23,014.20 × 9,496.40
  4. Step 4: Simplify right side
    15,328.40x = 218,552,048.88
  5. Step 5: Solve for x
    x = 218,552,048.88/15,328.40
  6. Step 6: Final answer
    x = 14,257.98

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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.