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Finding the Fourth Proportional to 13,225.86, 19,826.12 and 4,903.64

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Solution

The fourth proportional to 13,225.86, 19,826.12 and 4,903.64 is: 7,350.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225.86 : 19,826.12 = 4,903.64 : x
  2. Step 2: Convert to fraction form
    13,225.86/19,826.12 = 4,903.64/x
  3. Step 3: Cross multiply
    13,225.86x = 19,826.12 × 4,903.64
  4. Step 4: Simplify right side
    13,225.86x = 97,220,031.43
  5. Step 5: Solve for x
    x = 97,220,031.43/13,225.86
  6. Step 6: Final answer
    x = 7,350.75

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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.