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Finding the Fourth Proportional to 15,127.42, 22,676.54 and 7,735.36

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Solution

The fourth proportional to 15,127.42, 22,676.54 and 7,735.36 is: 11,595.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,127.42 : 22,676.54 = 7,735.36 : x
  2. Step 2: Convert to fraction form
    15,127.42/22,676.54 = 7,735.36/x
  3. Step 3: Cross multiply
    15,127.42x = 22,676.54 × 7,735.36
  4. Step 4: Simplify right side
    15,127.42x = 175,411,200.45
  5. Step 5: Solve for x
    x = 175,411,200.45/15,127.42
  6. Step 6: Final answer
    x = 11,595.58

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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.