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Finding the Fourth Proportional to 28,527.44, 42,780.67 and 9,802.16

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Solution

The fourth proportional to 28,527.44, 42,780.67 and 9,802.16 is: 14,699.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,527.44 : 42,780.67 = 9,802.16 : x
  2. Step 2: Convert to fraction form
    28,527.44/42,780.67 = 9,802.16/x
  3. Step 3: Cross multiply
    28,527.44x = 42,780.67 × 9,802.16
  4. Step 4: Simplify right side
    28,527.44x = 419,342,733.84
  5. Step 5: Solve for x
    x = 419,342,733.84/28,527.44
  6. Step 6: Final answer
    x = 14,699.63

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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.