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Finding the Fourth Proportional to 19,683.68, 27,165.93 and 11,300

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Solution

The fourth proportional to 19,683.68, 27,165.93 and 11,300 is: 15,595.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683.68 : 27,165.93 = 11,300 : x
  2. Step 2: Convert to fraction form
    19,683.68/27,165.93 = 11,300/x
  3. Step 3: Cross multiply
    19,683.68x = 27,165.93 × 11,300
  4. Step 4: Simplify right side
    19,683.68x = 306,975,009
  5. Step 5: Solve for x
    x = 306,975,009/19,683.68
  6. Step 6: Final answer
    x = 15,595.41

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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.