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Finding the Fourth Proportional to 14,594.70, 21,892.38 and 4,734

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Solution

The fourth proportional to 14,594.70, 21,892.38 and 4,734 is: 7,101.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594.70 : 21,892.38 = 4,734 : x
  2. Step 2: Convert to fraction form
    14,594.70/21,892.38 = 4,734/x
  3. Step 3: Cross multiply
    14,594.70x = 21,892.38 × 4,734
  4. Step 4: Simplify right side
    14,594.70x = 103,638,526.92
  5. Step 5: Solve for x
    x = 103,638,526.92/14,594.70
  6. Step 6: Final answer
    x = 7,101.11

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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.