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Finding the Fourth Proportional to 14,188.40, 21,232.20 and 12,359.60

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Solution

The fourth proportional to 14,188.40, 21,232.20 and 12,359.60 is: 18,495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188.40 : 21,232.20 = 12,359.60 : x
  2. Step 2: Convert to fraction form
    14,188.40/21,232.20 = 12,359.60/x
  3. Step 3: Cross multiply
    14,188.40x = 21,232.20 × 12,359.60
  4. Step 4: Simplify right side
    14,188.40x = 262,421,499.12
  5. Step 5: Solve for x
    x = 262,421,499.12/14,188.40
  6. Step 6: Final answer
    x = 18,495.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.