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Finding the Fourth Proportional to 11,802.16, 17,638.84 and 10,868.08

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Solution

The fourth proportional to 11,802.16, 17,638.84 and 10,868.08 is: 16,242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.16 : 17,638.84 = 10,868.08 : x
  2. Step 2: Convert to fraction form
    11,802.16/17,638.84 = 10,868.08/x
  3. Step 3: Cross multiply
    11,802.16x = 17,638.84 × 10,868.08
  4. Step 4: Simplify right side
    11,802.16x = 191,700,324.23
  5. Step 5: Solve for x
    x = 191,700,324.23/11,802.16
  6. Step 6: Final answer
    x = 16,242.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.