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Finding the Fourth Proportional to 14,357.70, 21,527.20 and 4,997

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Solution

The fourth proportional to 14,357.70, 21,527.20 and 4,997 is: 7,492.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357.70 : 21,527.20 = 4,997 : x
  2. Step 2: Convert to fraction form
    14,357.70/21,527.20 = 4,997/x
  3. Step 3: Cross multiply
    14,357.70x = 21,527.20 × 4,997
  4. Step 4: Simplify right side
    14,357.70x = 107,571,418.40
  5. Step 5: Solve for x
    x = 107,571,418.40/14,357.70
  6. Step 6: Final answer
    x = 7,492.25

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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.