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Finding the Fourth Proportional to 15,341.68, 23,007.66 and 4,951

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Solution

The fourth proportional to 15,341.68, 23,007.66 and 4,951 is: 7,424.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,341.68 : 23,007.66 = 4,951 : x
  2. Step 2: Convert to fraction form
    15,341.68/23,007.66 = 4,951/x
  3. Step 3: Cross multiply
    15,341.68x = 23,007.66 × 4,951
  4. Step 4: Simplify right side
    15,341.68x = 113,910,924.66
  5. Step 5: Solve for x
    x = 113,910,924.66/15,341.68
  6. Step 6: Final answer
    x = 7,424.93

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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.