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Finding the Fourth Proportional to 15,839, 21,858.18 and 10,259.72

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Solution

The fourth proportional to 15,839, 21,858.18 and 10,259.72 is: 14,158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,839 : 21,858.18 = 10,259.72 : x
  2. Step 2: Convert to fraction form
    15,839/21,858.18 = 10,259.72/x
  3. Step 3: Cross multiply
    15,839x = 21,858.18 × 10,259.72
  4. Step 4: Simplify right side
    15,839x = 224,258,806.51
  5. Step 5: Solve for x
    x = 224,258,806.51/15,839
  6. Step 6: Final answer
    x = 14,158.65

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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.