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Finding the Fourth Proportional to 13,106.34, 19,652.22 and 4,336.47

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Solution

The fourth proportional to 13,106.34, 19,652.22 and 4,336.47 is: 6,502.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106.34 : 19,652.22 = 4,336.47 : x
  2. Step 2: Convert to fraction form
    13,106.34/19,652.22 = 4,336.47/x
  3. Step 3: Cross multiply
    13,106.34x = 19,652.22 × 4,336.47
  4. Step 4: Simplify right side
    13,106.34x = 85,221,262.46
  5. Step 5: Solve for x
    x = 85,221,262.46/13,106.34
  6. Step 6: Final answer
    x = 6,502.29

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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.