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Finding the Fourth Proportional to 21,140.46, 29,173.86 and 11,709

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Solution

The fourth proportional to 21,140.46, 29,173.86 and 11,709 is: 16,158.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,140.46 : 29,173.86 = 11,709 : x
  2. Step 2: Convert to fraction form
    21,140.46/29,173.86 = 11,709/x
  3. Step 3: Cross multiply
    21,140.46x = 29,173.86 × 11,709
  4. Step 4: Simplify right side
    21,140.46x = 341,596,726.74
  5. Step 5: Solve for x
    x = 341,596,726.74/21,140.46
  6. Step 6: Final answer
    x = 16,158.43

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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.