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Finding the Fourth Proportional to 21,302.40, 31,955.94 and 5,721.24

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Solution

The fourth proportional to 21,302.40, 31,955.94 and 5,721.24 is: 8,582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,302.40 : 31,955.94 = 5,721.24 : x
  2. Step 2: Convert to fraction form
    21,302.40/31,955.94 = 5,721.24/x
  3. Step 3: Cross multiply
    21,302.40x = 31,955.94 × 5,721.24
  4. Step 4: Simplify right side
    21,302.40x = 182,827,602.17
  5. Step 5: Solve for x
    x = 182,827,602.17/21,302.40
  6. Step 6: Final answer
    x = 8,582.49

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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.