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Finding the Fourth Proportional to 19,384, 26,750.24 and 10,552

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Solution

The fourth proportional to 19,384, 26,750.24 and 10,552 is: 14,561.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,384 : 26,750.24 = 10,552 : x
  2. Step 2: Convert to fraction form
    19,384/26,750.24 = 10,552/x
  3. Step 3: Cross multiply
    19,384x = 26,750.24 × 10,552
  4. Step 4: Simplify right side
    19,384x = 282,268,532.48
  5. Step 5: Solve for x
    x = 282,268,532.48/19,384
  6. Step 6: Final answer
    x = 14,561.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.