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Finding the Fourth Proportional to 13,562.26, 20,347.06 and 12,261

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Solution

The fourth proportional to 13,562.26, 20,347.06 and 12,261 is: 18,394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,562.26 : 20,347.06 = 12,261 : x
  2. Step 2: Convert to fraction form
    13,562.26/20,347.06 = 12,261/x
  3. Step 3: Cross multiply
    13,562.26x = 20,347.06 × 12,261
  4. Step 4: Simplify right side
    13,562.26x = 249,475,302.66
  5. Step 5: Solve for x
    x = 249,475,302.66/13,562.26
  6. Step 6: Final answer
    x = 18,394.82

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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.