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Finding the Fourth Proportional to 15,802.68, 21,797.10 and 10,139.16

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Solution

The fourth proportional to 15,802.68, 21,797.10 and 10,139.16 is: 13,985.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802.68 : 21,797.10 = 10,139.16 : x
  2. Step 2: Convert to fraction form
    15,802.68/21,797.10 = 10,139.16/x
  3. Step 3: Cross multiply
    15,802.68x = 21,797.10 × 10,139.16
  4. Step 4: Simplify right side
    15,802.68x = 221,004,284.44
  5. Step 5: Solve for x
    x = 221,004,284.44/15,802.68
  6. Step 6: Final answer
    x = 13,985.24

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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.