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Finding the Fourth Proportional to 21,385.08, 32,075.46 and 7,533

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Solution

The fourth proportional to 21,385.08, 32,075.46 and 7,533 is: 11,298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,385.08 : 32,075.46 = 7,533 : x
  2. Step 2: Convert to fraction form
    21,385.08/32,075.46 = 7,533/x
  3. Step 3: Cross multiply
    21,385.08x = 32,075.46 × 7,533
  4. Step 4: Simplify right side
    21,385.08x = 241,624,440.18
  5. Step 5: Solve for x
    x = 241,624,440.18/21,385.08
  6. Step 6: Final answer
    x = 11,298.74

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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.