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Finding the Fourth Proportional to 28,415.25, 39,214.26 and 15,840

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Solution

The fourth proportional to 28,415.25, 39,214.26 and 15,840 is: 21,859.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,415.25 : 39,214.26 = 15,840 : x
  2. Step 2: Convert to fraction form
    28,415.25/39,214.26 = 15,840/x
  3. Step 3: Cross multiply
    28,415.25x = 39,214.26 × 15,840
  4. Step 4: Simplify right side
    28,415.25x = 621,153,878.40
  5. Step 5: Solve for x
    x = 621,153,878.40/28,415.25
  6. Step 6: Final answer
    x = 21,859.88

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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.