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Finding the Fourth Proportional to 15,837.66, 23,762.19 and 7,411.59

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Solution

The fourth proportional to 15,837.66, 23,762.19 and 7,411.59 is: 11,120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,837.66 : 23,762.19 = 7,411.59 : x
  2. Step 2: Convert to fraction form
    15,837.66/23,762.19 = 7,411.59/x
  3. Step 3: Cross multiply
    15,837.66x = 23,762.19 × 7,411.59
  4. Step 4: Simplify right side
    15,837.66x = 176,115,609.78
  5. Step 5: Solve for x
    x = 176,115,609.78/15,837.66
  6. Step 6: Final answer
    x = 11,120.05

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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.