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Finding the Fourth Proportional to 19,585.54, 29,372.08 and 6,434.86

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Solution

The fourth proportional to 19,585.54, 29,372.08 and 6,434.86 is: 9,650.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,585.54 : 29,372.08 = 6,434.86 : x
  2. Step 2: Convert to fraction form
    19,585.54/29,372.08 = 6,434.86/x
  3. Step 3: Cross multiply
    19,585.54x = 29,372.08 × 6,434.86
  4. Step 4: Simplify right side
    19,585.54x = 189,005,222.71
  5. Step 5: Solve for x
    x = 189,005,222.71/19,585.54
  6. Step 6: Final answer
    x = 9,650.24

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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.