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Finding the Fourth Proportional to 24,386, 33,649.98 and 13,773.38

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Solution

The fourth proportional to 24,386, 33,649.98 and 13,773.38 is: 19,005.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,386 : 33,649.98 = 13,773.38 : x
  2. Step 2: Convert to fraction form
    24,386/33,649.98 = 13,773.38/x
  3. Step 3: Cross multiply
    24,386x = 33,649.98 × 13,773.38
  4. Step 4: Simplify right side
    24,386x = 463,473,961.53
  5. Step 5: Solve for x
    x = 463,473,961.53/24,386
  6. Step 6: Final answer
    x = 19,005.74

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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.