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Finding the Fourth Proportional to 28,402.50, 39,154.46 and 19,878.24

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Solution

The fourth proportional to 28,402.50, 39,154.46 and 19,878.24 is: 27,403.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,402.50 : 39,154.46 = 19,878.24 : x
  2. Step 2: Convert to fraction form
    28,402.50/39,154.46 = 19,878.24/x
  3. Step 3: Cross multiply
    28,402.50x = 39,154.46 × 19,878.24
  4. Step 4: Simplify right side
    28,402.50x = 778,321,752.95
  5. Step 5: Solve for x
    x = 778,321,752.95/28,402.50
  6. Step 6: Final answer
    x = 27,403.28

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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.