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Finding the Fourth Proportional to 21,580.25, 32,378.16 and 7,542.35

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Solution

The fourth proportional to 21,580.25, 32,378.16 and 7,542.35 is: 11,316.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,580.25 : 32,378.16 = 7,542.35 : x
  2. Step 2: Convert to fraction form
    21,580.25/32,378.16 = 7,542.35/x
  3. Step 3: Cross multiply
    21,580.25x = 32,378.16 × 7,542.35
  4. Step 4: Simplify right side
    21,580.25x = 244,207,415.08
  5. Step 5: Solve for x
    x = 244,207,415.08/21,580.25
  6. Step 6: Final answer
    x = 11,316.25

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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.