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Finding the Fourth Proportional to 19,506.38, 29,262 and 6,355.22

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Solution

The fourth proportional to 19,506.38, 29,262 and 6,355.22 is: 9,533.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,506.38 : 29,262 = 6,355.22 : x
  2. Step 2: Convert to fraction form
    19,506.38/29,262 = 6,355.22/x
  3. Step 3: Cross multiply
    19,506.38x = 29,262 × 6,355.22
  4. Step 4: Simplify right side
    19,506.38x = 185,966,447.64
  5. Step 5: Solve for x
    x = 185,966,447.64/19,506.38
  6. Step 6: Final answer
    x = 9,533.62

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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.