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Finding the Fourth Proportional to 17,681.78, 24,401.76 and 10,128.14

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Solution

The fourth proportional to 17,681.78, 24,401.76 and 10,128.14 is: 13,977.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,681.78 : 24,401.76 = 10,128.14 : x
  2. Step 2: Convert to fraction form
    17,681.78/24,401.76 = 10,128.14/x
  3. Step 3: Cross multiply
    17,681.78x = 24,401.76 × 10,128.14
  4. Step 4: Simplify right side
    17,681.78x = 247,144,441.53
  5. Step 5: Solve for x
    x = 247,144,441.53/17,681.78
  6. Step 6: Final answer
    x = 13,977.35

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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.