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Finding the Fourth Proportional to 27,434.90, 41,152.35 and 7,713.46

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Solution

The fourth proportional to 27,434.90, 41,152.35 and 7,713.46 is: 11,570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,434.90 : 41,152.35 = 7,713.46 : x
  2. Step 2: Convert to fraction form
    27,434.90/41,152.35 = 7,713.46/x
  3. Step 3: Cross multiply
    27,434.90x = 41,152.35 × 7,713.46
  4. Step 4: Simplify right side
    27,434.90x = 317,427,005.63
  5. Step 5: Solve for x
    x = 317,427,005.63/27,434.90
  6. Step 6: Final answer
    x = 11,570.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.