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Finding the Fourth Proportional to 13,221.29, 19,840.13 and 5,430.10

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Solution

The fourth proportional to 13,221.29, 19,840.13 and 5,430.10 is: 8,148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,221.29 : 19,840.13 = 5,430.10 : x
  2. Step 2: Convert to fraction form
    13,221.29/19,840.13 = 5,430.10/x
  3. Step 3: Cross multiply
    13,221.29x = 19,840.13 × 5,430.10
  4. Step 4: Simplify right side
    13,221.29x = 107,733,889.91
  5. Step 5: Solve for x
    x = 107,733,889.91/13,221.29
  6. Step 6: Final answer
    x = 8,148.52

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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.