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Finding the Fourth Proportional to 14,121.34, 19,487.64 and 7,748.53

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Solution

The fourth proportional to 14,121.34, 19,487.64 and 7,748.53 is: 10,693.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,121.34 : 19,487.64 = 7,748.53 : x
  2. Step 2: Convert to fraction form
    14,121.34/19,487.64 = 7,748.53/x
  3. Step 3: Cross multiply
    14,121.34x = 19,487.64 × 7,748.53
  4. Step 4: Simplify right side
    14,121.34x = 151,000,563.17
  5. Step 5: Solve for x
    x = 151,000,563.17/14,121.34
  6. Step 6: Final answer
    x = 10,693.08

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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.