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Finding the Fourth Proportional to 14,962.40, 22,438.20 and 7,564.40

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Solution

The fourth proportional to 14,962.40, 22,438.20 and 7,564.40 is: 11,343.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,962.40 : 22,438.20 = 7,564.40 : x
  2. Step 2: Convert to fraction form
    14,962.40/22,438.20 = 7,564.40/x
  3. Step 3: Cross multiply
    14,962.40x = 22,438.20 × 7,564.40
  4. Step 4: Simplify right side
    14,962.40x = 169,731,520.08
  5. Step 5: Solve for x
    x = 169,731,520.08/14,962.40
  6. Step 6: Final answer
    x = 11,343.87

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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.