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Finding the Fourth Proportional to 19,384, 26,749.92 and 10,552

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Solution

The fourth proportional to 19,384, 26,749.92 and 10,552 is: 14,561.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,384 : 26,749.92 = 10,552 : x
  2. Step 2: Convert to fraction form
    19,384/26,749.92 = 10,552/x
  3. Step 3: Cross multiply
    19,384x = 26,749.92 × 10,552
  4. Step 4: Simplify right side
    19,384x = 282,265,155.84
  5. Step 5: Solve for x
    x = 282,265,155.84/19,384
  6. Step 6: Final answer
    x = 14,561.76

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