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Finding the Fourth Proportional to 15,796.19, 21,802.16 and 10,772.40

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Solution

The fourth proportional to 15,796.19, 21,802.16 and 10,772.40 is: 14,868.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,796.19 : 21,802.16 = 10,772.40 : x
  2. Step 2: Convert to fraction form
    15,796.19/21,802.16 = 10,772.40/x
  3. Step 3: Cross multiply
    15,796.19x = 21,802.16 × 10,772.40
  4. Step 4: Simplify right side
    15,796.19x = 234,861,588.38
  5. Step 5: Solve for x
    x = 234,861,588.38/15,796.19
  6. Step 6: Final answer
    x = 14,868.24

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Why These Related Problems?

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