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Finding the Fourth Proportional to 21,762.47, 32,643.03 and 6,180.10

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Solution

The fourth proportional to 21,762.47, 32,643.03 and 6,180.10 is: 9,269.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,762.47 : 32,643.03 = 6,180.10 : x
  2. Step 2: Convert to fraction form
    21,762.47/32,643.03 = 6,180.10/x
  3. Step 3: Cross multiply
    21,762.47x = 32,643.03 × 6,180.10
  4. Step 4: Simplify right side
    21,762.47x = 201,737,079.13
  5. Step 5: Solve for x
    x = 201,737,079.13/21,762.47
  6. Step 6: Final answer
    x = 9,269.95

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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.