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Finding the Fourth Proportional to 13,725.40, 18,941.05 and 7,437.77

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Solution

The fourth proportional to 13,725.40, 18,941.05 and 7,437.77 is: 10,264.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,725.40 : 18,941.05 = 7,437.77 : x
  2. Step 2: Convert to fraction form
    13,725.40/18,941.05 = 7,437.77/x
  3. Step 3: Cross multiply
    13,725.40x = 18,941.05 × 7,437.77
  4. Step 4: Simplify right side
    13,725.40x = 140,879,173.46
  5. Step 5: Solve for x
    x = 140,879,173.46/13,725.40
  6. Step 6: Final answer
    x = 10,264.13

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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.