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Finding the Fourth Proportional to 21,015, 29,000.70 and 11,583.77

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Solution

The fourth proportional to 21,015, 29,000.70 and 11,583.77 is: 15,985.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,015 : 29,000.70 = 11,583.77 : x
  2. Step 2: Convert to fraction form
    21,015/29,000.70 = 11,583.77/x
  3. Step 3: Cross multiply
    21,015x = 29,000.70 × 11,583.77
  4. Step 4: Simplify right side
    21,015x = 335,937,293.64
  5. Step 5: Solve for x
    x = 335,937,293.64/21,015
  6. Step 6: Final answer
    x = 15,985.60

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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.