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Finding the Fourth Proportional to 11,852.64, 17,778.80 and 11,130.88

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Solution

The fourth proportional to 11,852.64, 17,778.80 and 11,130.88 is: 16,696.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.64 : 17,778.80 = 11,130.88 : x
  2. Step 2: Convert to fraction form
    11,852.64/17,778.80 = 11,130.88/x
  3. Step 3: Cross multiply
    11,852.64x = 17,778.80 × 11,130.88
  4. Step 4: Simplify right side
    11,852.64x = 197,893,689.34
  5. Step 5: Solve for x
    x = 197,893,689.34/11,852.64
  6. Step 6: Final answer
    x = 16,696.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.