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Finding the Fourth Proportional to 11,648.34, 16,071.21 and 10,525.68

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Solution

The fourth proportional to 11,648.34, 16,071.21 and 10,525.68 is: 14,522.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.34 : 16,071.21 = 10,525.68 : x
  2. Step 2: Convert to fraction form
    11,648.34/16,071.21 = 10,525.68/x
  3. Step 3: Cross multiply
    11,648.34x = 16,071.21 × 10,525.68
  4. Step 4: Simplify right side
    11,648.34x = 169,160,413.67
  5. Step 5: Solve for x
    x = 169,160,413.67/11,648.34
  6. Step 6: Final answer
    x = 14,522.28

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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.