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Finding the Fourth Proportional to 21,085.84, 31,637.51 and 9,233.49

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Solution

The fourth proportional to 21,085.84, 31,637.51 and 9,233.49 is: 13,854.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,085.84 : 31,637.51 = 9,233.49 : x
  2. Step 2: Convert to fraction form
    21,085.84/31,637.51 = 9,233.49/x
  3. Step 3: Cross multiply
    21,085.84x = 31,637.51 × 9,233.49
  4. Step 4: Simplify right side
    21,085.84x = 292,124,765.28
  5. Step 5: Solve for x
    x = 292,124,765.28/21,085.84
  6. Step 6: Final answer
    x = 13,854.07

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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.