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Finding the Fourth Proportional to 24,406.74, 33,681.18 and 13,796.40

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Solution

The fourth proportional to 24,406.74, 33,681.18 and 13,796.40 is: 19,038.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,406.74 : 33,681.18 = 13,796.40 : x
  2. Step 2: Convert to fraction form
    24,406.74/33,681.18 = 13,796.40/x
  3. Step 3: Cross multiply
    24,406.74x = 33,681.18 × 13,796.40
  4. Step 4: Simplify right side
    24,406.74x = 464,679,031.75
  5. Step 5: Solve for x
    x = 464,679,031.75/24,406.74
  6. Step 6: Final answer
    x = 19,038.96

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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.