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Finding the Fourth Proportional to 15,035.48, 20,746.09 and 9,729.58

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Solution

The fourth proportional to 15,035.48, 20,746.09 and 9,729.58 is: 13,424.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,035.48 : 20,746.09 = 9,729.58 : x
  2. Step 2: Convert to fraction form
    15,035.48/20,746.09 = 9,729.58/x
  3. Step 3: Cross multiply
    15,035.48x = 20,746.09 × 9,729.58
  4. Step 4: Simplify right side
    15,035.48x = 201,850,742.34
  5. Step 5: Solve for x
    x = 201,850,742.34/15,035.48
  6. Step 6: Final answer
    x = 13,424.96

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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.