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Finding the Fourth Proportional to 13,498.63, 18,627.92 and 7,530.40

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Solution

The fourth proportional to 13,498.63, 18,627.92 and 7,530.40 is: 10,391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498.63 : 18,627.92 = 7,530.40 : x
  2. Step 2: Convert to fraction form
    13,498.63/18,627.92 = 7,530.40/x
  3. Step 3: Cross multiply
    13,498.63x = 18,627.92 × 7,530.40
  4. Step 4: Simplify right side
    13,498.63x = 140,275,702.64
  5. Step 5: Solve for x
    x = 140,275,702.64/13,498.63
  6. Step 6: Final answer
    x = 10,391.85

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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.