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Finding the Fourth Proportional to 24,407.20, 33,681.76 and 13,797.76

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Solution

The fourth proportional to 24,407.20, 33,681.76 and 13,797.76 is: 19,040.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,407.20 : 33,681.76 = 13,797.76 : x
  2. Step 2: Convert to fraction form
    24,407.20/33,681.76 = 13,797.76/x
  3. Step 3: Cross multiply
    24,407.20x = 33,681.76 × 13,797.76
  4. Step 4: Simplify right side
    24,407.20x = 464,732,840.86
  5. Step 5: Solve for x
    x = 464,732,840.86/24,407.20
  6. Step 6: Final answer
    x = 19,040.81

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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.