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Finding the Fourth Proportional to 11,964, 17,827.08 and 10,655.40

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Solution

The fourth proportional to 11,964, 17,827.08 and 10,655.40 is: 15,877.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964 : 17,827.08 = 10,655.40 : x
  2. Step 2: Convert to fraction form
    11,964/17,827.08 = 10,655.40/x
  3. Step 3: Cross multiply
    11,964x = 17,827.08 × 10,655.40
  4. Step 4: Simplify right side
    11,964x = 189,954,668.23
  5. Step 5: Solve for x
    x = 189,954,668.23/11,964
  6. Step 6: Final answer
    x = 15,877.19

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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.