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Finding the Fourth Proportional to 12,038.85, 16,615.67 and 7,564.41

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Solution

The fourth proportional to 12,038.85, 16,615.67 and 7,564.41 is: 10,440.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,038.85 : 16,615.67 = 7,564.41 : x
  2. Step 2: Convert to fraction form
    12,038.85/16,615.67 = 7,564.41/x
  3. Step 3: Cross multiply
    12,038.85x = 16,615.67 × 7,564.41
  4. Step 4: Simplify right side
    12,038.85x = 125,687,702.48
  5. Step 5: Solve for x
    x = 125,687,702.48/12,038.85
  6. Step 6: Final answer
    x = 10,440.18

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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.