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Finding the Fourth Proportional to 17,681.81, 24,397.74 and 10,025.12

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Solution

The fourth proportional to 17,681.81, 24,397.74 and 10,025.12 is: 13,832.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,681.81 : 24,397.74 = 10,025.12 : x
  2. Step 2: Convert to fraction form
    17,681.81/24,397.74 = 10,025.12/x
  3. Step 3: Cross multiply
    17,681.81x = 24,397.74 × 10,025.12
  4. Step 4: Simplify right side
    17,681.81x = 244,590,271.23
  5. Step 5: Solve for x
    x = 244,590,271.23/17,681.81
  6. Step 6: Final answer
    x = 13,832.88

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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.