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Finding the Fourth Proportional to 15,806.18, 21,814.65 and 9,091.64

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Solution

The fourth proportional to 15,806.18, 21,814.65 and 9,091.64 is: 12,547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806.18 : 21,814.65 = 9,091.64 : x
  2. Step 2: Convert to fraction form
    15,806.18/21,814.65 = 9,091.64/x
  3. Step 3: Cross multiply
    15,806.18x = 21,814.65 × 9,091.64
  4. Step 4: Simplify right side
    15,806.18x = 198,330,835.45
  5. Step 5: Solve for x
    x = 198,330,835.45/15,806.18
  6. Step 6: Final answer
    x = 12,547.68

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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.