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Finding the Fourth Proportional to 22,430.16, 33,645.24 and 9,268.07

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Solution

The fourth proportional to 22,430.16, 33,645.24 and 9,268.07 is: 13,902.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,430.16 : 33,645.24 = 9,268.07 : x
  2. Step 2: Convert to fraction form
    22,430.16/33,645.24 = 9,268.07/x
  3. Step 3: Cross multiply
    22,430.16x = 33,645.24 × 9,268.07
  4. Step 4: Simplify right side
    22,430.16x = 311,826,271.26
  5. Step 5: Solve for x
    x = 311,826,271.26/22,430.16
  6. Step 6: Final answer
    x = 13,902.10

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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.