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Finding the Fourth Proportional to 21,385.68, 32,058.54 and 9,533.22

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Solution

The fourth proportional to 21,385.68, 32,058.54 and 9,533.22 is: 14,290.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,385.68 : 32,058.54 = 9,533.22 : x
  2. Step 2: Convert to fraction form
    21,385.68/32,058.54 = 9,533.22/x
  3. Step 3: Cross multiply
    21,385.68x = 32,058.54 × 9,533.22
  4. Step 4: Simplify right side
    21,385.68x = 305,621,114.70
  5. Step 5: Solve for x
    x = 305,621,114.70/21,385.68
  6. Step 6: Final answer
    x = 14,290.92

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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.