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Finding the Fourth Proportional to 11,870.83, 17,886.38 and 9,836.11

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Solution

The fourth proportional to 11,870.83, 17,886.38 and 9,836.11 is: 14,820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.83 : 17,886.38 = 9,836.11 : x
  2. Step 2: Convert to fraction form
    11,870.83/17,886.38 = 9,836.11/x
  3. Step 3: Cross multiply
    11,870.83x = 17,886.38 × 9,836.11
  4. Step 4: Simplify right side
    11,870.83x = 175,932,425.77
  5. Step 5: Solve for x
    x = 175,932,425.77/11,870.83
  6. Step 6: Final answer
    x = 14,820.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.