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Finding the Fourth Proportional to 15,818, 21,826.64 and 9,101.08

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Solution

The fourth proportional to 15,818, 21,826.64 and 9,101.08 is: 12,558.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,818 : 21,826.64 = 9,101.08 : x
  2. Step 2: Convert to fraction form
    15,818/21,826.64 = 9,101.08/x
  3. Step 3: Cross multiply
    15,818x = 21,826.64 × 9,101.08
  4. Step 4: Simplify right side
    15,818x = 198,645,996.77
  5. Step 5: Solve for x
    x = 198,645,996.77/15,818
  6. Step 6: Final answer
    x = 12,558.22

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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.