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Finding the Fourth Proportional to 28,539.80, 42,809.70 and 9,820.29

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Solution

The fourth proportional to 28,539.80, 42,809.70 and 9,820.29 is: 14,730.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,539.80 : 42,809.70 = 9,820.29 : x
  2. Step 2: Convert to fraction form
    28,539.80/42,809.70 = 9,820.29/x
  3. Step 3: Cross multiply
    28,539.80x = 42,809.70 × 9,820.29
  4. Step 4: Simplify right side
    28,539.80x = 420,403,619.71
  5. Step 5: Solve for x
    x = 420,403,619.71/28,539.80
  6. Step 6: Final answer
    x = 14,730.44

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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.