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Finding the Fourth Proportional to 21,652.84, 29,898.02 and 14,102.76

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Solution

The fourth proportional to 21,652.84, 29,898.02 and 14,102.76 is: 19,472.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,652.84 : 29,898.02 = 14,102.76 : x
  2. Step 2: Convert to fraction form
    21,652.84/29,898.02 = 14,102.76/x
  3. Step 3: Cross multiply
    21,652.84x = 29,898.02 × 14,102.76
  4. Step 4: Simplify right side
    21,652.84x = 421,644,600.54
  5. Step 5: Solve for x
    x = 421,644,600.54/21,652.84
  6. Step 6: Final answer
    x = 19,472.95

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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.