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Finding the Fourth Proportional to 24,278.67, 33,503.76 and 13,666.28

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Solution

The fourth proportional to 24,278.67, 33,503.76 and 13,666.28 is: 18,859.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,278.67 : 33,503.76 = 13,666.28 : x
  2. Step 2: Convert to fraction form
    24,278.67/33,503.76 = 13,666.28/x
  3. Step 3: Cross multiply
    24,278.67x = 33,503.76 × 13,666.28
  4. Step 4: Simplify right side
    24,278.67x = 457,871,597.69
  5. Step 5: Solve for x
    x = 457,871,597.69/24,278.67
  6. Step 6: Final answer
    x = 18,859.01

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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.