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Finding the Fourth Proportional to 11,602.40, 17,318.68 and 9,969.44

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Solution

The fourth proportional to 11,602.40, 17,318.68 and 9,969.44 is: 14,881.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.40 : 17,318.68 = 9,969.44 : x
  2. Step 2: Convert to fraction form
    11,602.40/17,318.68 = 9,969.44/x
  3. Step 3: Cross multiply
    11,602.40x = 17,318.68 × 9,969.44
  4. Step 4: Simplify right side
    11,602.40x = 172,657,541.14
  5. Step 5: Solve for x
    x = 172,657,541.14/11,602.40
  6. Step 6: Final answer
    x = 14,881.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.