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Finding the Fourth Proportional to 22,430.74, 33,648.82 and 9,292.32

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Solution

The fourth proportional to 22,430.74, 33,648.82 and 9,292.32 is: 13,939.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,430.74 : 33,648.82 = 9,292.32 : x
  2. Step 2: Convert to fraction form
    22,430.74/33,648.82 = 9,292.32/x
  3. Step 3: Cross multiply
    22,430.74x = 33,648.82 × 9,292.32
  4. Step 4: Simplify right side
    22,430.74x = 312,675,603.06
  5. Step 5: Solve for x
    x = 312,675,603.06/22,430.74
  6. Step 6: Final answer
    x = 13,939.60

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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.