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Finding the Fourth Proportional to 14,113.78, 21,173.10 and 7,538.20

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Solution

The fourth proportional to 14,113.78, 21,173.10 and 7,538.20 is: 11,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.78 : 21,173.10 = 7,538.20 : x
  2. Step 2: Convert to fraction form
    14,113.78/21,173.10 = 7,538.20/x
  3. Step 3: Cross multiply
    14,113.78x = 21,173.10 × 7,538.20
  4. Step 4: Simplify right side
    14,113.78x = 159,607,062.42
  5. Step 5: Solve for x
    x = 159,607,062.42/14,113.78
  6. Step 6: Final answer
    x = 11,308.60

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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.