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Finding the Fourth Proportional to 19,746.61, 27,232.65 and 16,384.09

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Solution

The fourth proportional to 19,746.61, 27,232.65 and 16,384.09 is: 22,595.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,746.61 : 27,232.65 = 16,384.09 : x
  2. Step 2: Convert to fraction form
    19,746.61/27,232.65 = 16,384.09/x
  3. Step 3: Cross multiply
    19,746.61x = 27,232.65 × 16,384.09
  4. Step 4: Simplify right side
    19,746.61x = 446,182,188.54
  5. Step 5: Solve for x
    x = 446,182,188.54/19,746.61
  6. Step 6: Final answer
    x = 22,595.38

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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.