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Finding the Fourth Proportional to 10,638.51, 14,649.44 and 10,402.49

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Solution

The fourth proportional to 10,638.51, 14,649.44 and 10,402.49 is: 14,324.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.51 : 14,649.44 = 10,402.49 : x
  2. Step 2: Convert to fraction form
    10,638.51/14,649.44 = 10,402.49/x
  3. Step 3: Cross multiply
    10,638.51x = 14,649.44 × 10,402.49
  4. Step 4: Simplify right side
    10,638.51x = 152,390,605.86
  5. Step 5: Solve for x
    x = 152,390,605.86/10,638.51
  6. Step 6: Final answer
    x = 14,324.43

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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.