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Finding the Fourth Proportional to 13,567.94, 18,738.95 and 11,461.25

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Solution

The fourth proportional to 13,567.94, 18,738.95 and 11,461.25 is: 15,829.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,567.94 : 18,738.95 = 11,461.25 : x
  2. Step 2: Convert to fraction form
    13,567.94/18,738.95 = 11,461.25/x
  3. Step 3: Cross multiply
    13,567.94x = 18,738.95 × 11,461.25
  4. Step 4: Simplify right side
    13,567.94x = 214,771,674.82
  5. Step 5: Solve for x
    x = 214,771,674.82/13,567.94
  6. Step 6: Final answer
    x = 15,829.35

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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.