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Finding the Fourth Proportional to 22,461.76, 30,969.30 and 17,148.16

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Solution

The fourth proportional to 22,461.76, 30,969.30 and 17,148.16 is: 23,643.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,461.76 : 30,969.30 = 17,148.16 : x
  2. Step 2: Convert to fraction form
    22,461.76/30,969.30 = 17,148.16/x
  3. Step 3: Cross multiply
    22,461.76x = 30,969.30 × 17,148.16
  4. Step 4: Simplify right side
    22,461.76x = 531,066,511.49
  5. Step 5: Solve for x
    x = 531,066,511.49/22,461.76
  6. Step 6: Final answer
    x = 23,643.14

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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.