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Finding the Fourth Proportional to 19,424, 29,133.52 and 6,275

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Solution

The fourth proportional to 19,424, 29,133.52 and 6,275 is: 9,411.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,424 : 29,133.52 = 6,275 : x
  2. Step 2: Convert to fraction form
    19,424/29,133.52 = 6,275/x
  3. Step 3: Cross multiply
    19,424x = 29,133.52 × 6,275
  4. Step 4: Simplify right side
    19,424x = 182,812,838
  5. Step 5: Solve for x
    x = 182,812,838/19,424
  6. Step 6: Final answer
    x = 9,411.70

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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.