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Finding the Fourth Proportional to 19,345.96, 29,016.67 and 5,307.41

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Solution

The fourth proportional to 19,345.96, 29,016.67 and 5,307.41 is: 7,960.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,345.96 : 29,016.67 = 5,307.41 : x
  2. Step 2: Convert to fraction form
    19,345.96/29,016.67 = 5,307.41/x
  3. Step 3: Cross multiply
    19,345.96x = 29,016.67 × 5,307.41
  4. Step 4: Simplify right side
    19,345.96x = 154,003,364.52
  5. Step 5: Solve for x
    x = 154,003,364.52/19,345.96
  6. Step 6: Final answer
    x = 7,960.49

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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.