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Finding the Fourth Proportional to 14,274.29, 21,414.06 and 4,915.68

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Solution

The fourth proportional to 14,274.29, 21,414.06 and 4,915.68 is: 7,374.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274.29 : 21,414.06 = 4,915.68 : x
  2. Step 2: Convert to fraction form
    14,274.29/21,414.06 = 4,915.68/x
  3. Step 3: Cross multiply
    14,274.29x = 21,414.06 × 4,915.68
  4. Step 4: Simplify right side
    14,274.29x = 105,264,666.46
  5. Step 5: Solve for x
    x = 105,264,666.46/14,274.29
  6. Step 6: Final answer
    x = 7,374.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.