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Finding the Fourth Proportional to 15,858.96, 23,785.08 and 10,007.76

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Solution

The fourth proportional to 15,858.96, 23,785.08 and 10,007.76 is: 15,009.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,858.96 : 23,785.08 = 10,007.76 : x
  2. Step 2: Convert to fraction form
    15,858.96/23,785.08 = 10,007.76/x
  3. Step 3: Cross multiply
    15,858.96x = 23,785.08 × 10,007.76
  4. Step 4: Simplify right side
    15,858.96x = 238,035,372.22
  5. Step 5: Solve for x
    x = 238,035,372.22/15,858.96
  6. Step 6: Final answer
    x = 15,009.52

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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.