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Finding the Fourth Proportional to 28,535.36, 42,804.96 and 9,814.40

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Solution

The fourth proportional to 28,535.36, 42,804.96 and 9,814.40 is: 14,722.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,535.36 : 42,804.96 = 9,814.40 : x
  2. Step 2: Convert to fraction form
    28,535.36/42,804.96 = 9,814.40/x
  3. Step 3: Cross multiply
    28,535.36x = 42,804.96 × 9,814.40
  4. Step 4: Simplify right side
    28,535.36x = 420,104,999.42
  5. Step 5: Solve for x
    x = 420,104,999.42/28,535.36
  6. Step 6: Final answer
    x = 14,722.26

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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.