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Finding the Fourth Proportional to 21,215.40, 29,275.48 and 11,655

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Solution

The fourth proportional to 21,215.40, 29,275.48 and 11,655 is: 16,082.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,215.40 : 29,275.48 = 11,655 : x
  2. Step 2: Convert to fraction form
    21,215.40/29,275.48 = 11,655/x
  3. Step 3: Cross multiply
    21,215.40x = 29,275.48 × 11,655
  4. Step 4: Simplify right side
    21,215.40x = 341,205,719.40
  5. Step 5: Solve for x
    x = 341,205,719.40/21,215.40
  6. Step 6: Final answer
    x = 16,082.93

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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.