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Finding the Fourth Proportional to 21,509.52, 29,683.12 and 13,126

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Solution

The fourth proportional to 21,509.52, 29,683.12 and 13,126 is: 18,113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509.52 : 29,683.12 = 13,126 : x
  2. Step 2: Convert to fraction form
    21,509.52/29,683.12 = 13,126/x
  3. Step 3: Cross multiply
    21,509.52x = 29,683.12 × 13,126
  4. Step 4: Simplify right side
    21,509.52x = 389,620,633.12
  5. Step 5: Solve for x
    x = 389,620,633.12/21,509.52
  6. Step 6: Final answer
    x = 18,113.87

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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.