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Finding the Fourth Proportional to 23,865.74, 35,813.40 and 13,875.19

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Solution

The fourth proportional to 23,865.74, 35,813.40 and 13,875.19 is: 20,821.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,865.74 : 35,813.40 = 13,875.19 : x
  2. Step 2: Convert to fraction form
    23,865.74/35,813.40 = 13,875.19/x
  3. Step 3: Cross multiply
    23,865.74x = 35,813.40 × 13,875.19
  4. Step 4: Simplify right side
    23,865.74x = 496,917,774.31
  5. Step 5: Solve for x
    x = 496,917,774.31/23,865.74
  6. Step 6: Final answer
    x = 20,821.38

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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.