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Finding the Fourth Proportional to 19,456.42, 29,182.18 and 5,417.50

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Solution

The fourth proportional to 19,456.42, 29,182.18 and 5,417.50 is: 8,125.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,456.42 : 29,182.18 = 5,417.50 : x
  2. Step 2: Convert to fraction form
    19,456.42/29,182.18 = 5,417.50/x
  3. Step 3: Cross multiply
    19,456.42x = 29,182.18 × 5,417.50
  4. Step 4: Simplify right side
    19,456.42x = 158,094,460.15
  5. Step 5: Solve for x
    x = 158,094,460.15/19,456.42
  6. Step 6: Final answer
    x = 8,125.57

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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.