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Finding the Fourth Proportional to 21,382.93, 32,074.47 and 7,347.00

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Solution

The fourth proportional to 21,382.93, 32,074.47 and 7,347.00 is: 11,020.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,382.93 : 32,074.47 = 7,347.00 : x
  2. Step 2: Convert to fraction form
    21,382.93/32,074.47 = 7,347.00/x
  3. Step 3: Cross multiply
    21,382.93x = 32,074.47 × 7,347.00
  4. Step 4: Simplify right side
    21,382.93x = 235,651,272.03
  5. Step 5: Solve for x
    x = 235,651,272.03/21,382.93
  6. Step 6: Final answer
    x = 11,020.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.