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Finding the Fourth Proportional to 13,915.35, 19,203.06 and 7,541.82

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Solution

The fourth proportional to 13,915.35, 19,203.06 and 7,541.82 is: 10,407.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.35 : 19,203.06 = 7,541.82 : x
  2. Step 2: Convert to fraction form
    13,915.35/19,203.06 = 7,541.82/x
  3. Step 3: Cross multiply
    13,915.35x = 19,203.06 × 7,541.82
  4. Step 4: Simplify right side
    13,915.35x = 144,826,021.97
  5. Step 5: Solve for x
    x = 144,826,021.97/13,915.35
  6. Step 6: Final answer
    x = 10,407.64

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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.