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Finding the Fourth Proportional to 21,530.28, 29,713.26 and 12,098.82

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Solution

The fourth proportional to 21,530.28, 29,713.26 and 12,098.82 is: 16,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,530.28 : 29,713.26 = 12,098.82 : x
  2. Step 2: Convert to fraction form
    21,530.28/29,713.26 = 12,098.82/x
  3. Step 3: Cross multiply
    21,530.28x = 29,713.26 × 12,098.82
  4. Step 4: Simplify right side
    21,530.28x = 359,495,384.35
  5. Step 5: Solve for x
    x = 359,495,384.35/21,530.28
  6. Step 6: Final answer
    x = 16,697.20

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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.