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Finding the Fourth Proportional to 21,182.47, 31,773.71 and 7,328.23

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Solution

The fourth proportional to 21,182.47, 31,773.71 and 7,328.23 is: 10,992.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,182.47 : 31,773.71 = 7,328.23 : x
  2. Step 2: Convert to fraction form
    21,182.47/31,773.71 = 7,328.23/x
  3. Step 3: Cross multiply
    21,182.47x = 31,773.71 × 7,328.23
  4. Step 4: Simplify right side
    21,182.47x = 232,845,054.83
  5. Step 5: Solve for x
    x = 232,845,054.83/21,182.47
  6. Step 6: Final answer
    x = 10,992.35

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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.