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Finding the Fourth Proportional to 24,097.36, 36,087.36 and 16,681

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Solution

The fourth proportional to 24,097.36, 36,087.36 and 16,681 is: 24,980.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,097.36 : 36,087.36 = 16,681 : x
  2. Step 2: Convert to fraction form
    24,097.36/36,087.36 = 16,681/x
  3. Step 3: Cross multiply
    24,097.36x = 36,087.36 × 16,681
  4. Step 4: Simplify right side
    24,097.36x = 601,973,252.16
  5. Step 5: Solve for x
    x = 601,973,252.16/24,097.36
  6. Step 6: Final answer
    x = 24,980.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.