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Finding the Fourth Proportional to 15,407.83, 23,108.37 and 7,506.96

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Solution

The fourth proportional to 15,407.83, 23,108.37 and 7,506.96 is: 11,258.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,407.83 : 23,108.37 = 7,506.96 : x
  2. Step 2: Convert to fraction form
    15,407.83/23,108.37 = 7,506.96/x
  3. Step 3: Cross multiply
    15,407.83x = 23,108.37 × 7,506.96
  4. Step 4: Simplify right side
    15,407.83x = 173,473,493.71
  5. Step 5: Solve for x
    x = 173,473,493.71/15,407.83
  6. Step 6: Final answer
    x = 11,258.79

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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.