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Finding the Fourth Proportional to 15,135.40, 20,886.42 and 9,541

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Solution

The fourth proportional to 15,135.40, 20,886.42 and 9,541 is: 13,166.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,135.40 : 20,886.42 = 9,541 : x
  2. Step 2: Convert to fraction form
    15,135.40/20,886.42 = 9,541/x
  3. Step 3: Cross multiply
    15,135.40x = 20,886.42 × 9,541
  4. Step 4: Simplify right side
    15,135.40x = 199,277,333.22
  5. Step 5: Solve for x
    x = 199,277,333.22/15,135.40
  6. Step 6: Final answer
    x = 13,166.31

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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.