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Finding the Fourth Proportional to 28,539.60, 42,798.75 and 9,814.33

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Solution

The fourth proportional to 28,539.60, 42,798.75 and 9,814.33 is: 14,717.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,539.60 : 42,798.75 = 9,814.33 : x
  2. Step 2: Convert to fraction form
    28,539.60/42,798.75 = 9,814.33/x
  3. Step 3: Cross multiply
    28,539.60x = 42,798.75 × 9,814.33
  4. Step 4: Simplify right side
    28,539.60x = 420,041,199.89
  5. Step 5: Solve for x
    x = 420,041,199.89/28,539.60
  6. Step 6: Final answer
    x = 14,717.84

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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.