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Finding the Fourth Proportional to 15,802.20, 21,806.16 and 9,833.68

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Solution

The fourth proportional to 15,802.20, 21,806.16 and 9,833.68 is: 13,569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802.20 : 21,806.16 = 9,833.68 : x
  2. Step 2: Convert to fraction form
    15,802.20/21,806.16 = 9,833.68/x
  3. Step 3: Cross multiply
    15,802.20x = 21,806.16 × 9,833.68
  4. Step 4: Simplify right side
    15,802.20x = 214,434,799.47
  5. Step 5: Solve for x
    x = 214,434,799.47/15,802.20
  6. Step 6: Final answer
    x = 13,569.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.