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Finding the Fourth Proportional to 21,428, 29,570.76 and 13,976

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Solution

The fourth proportional to 21,428, 29,570.76 and 13,976 is: 19,286.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,428 : 29,570.76 = 13,976 : x
  2. Step 2: Convert to fraction form
    21,428/29,570.76 = 13,976/x
  3. Step 3: Cross multiply
    21,428x = 29,570.76 × 13,976
  4. Step 4: Simplify right side
    21,428x = 413,280,941.76
  5. Step 5: Solve for x
    x = 413,280,941.76/21,428
  6. Step 6: Final answer
    x = 19,286.96

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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.