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Finding the Fourth Proportional to 27,806.60, 41,656.14 and 15,457.16

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Solution

The fourth proportional to 27,806.60, 41,656.14 and 15,457.16 is: 23,155.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,806.60 : 41,656.14 = 15,457.16 : x
  2. Step 2: Convert to fraction form
    27,806.60/41,656.14 = 15,457.16/x
  3. Step 3: Cross multiply
    27,806.60x = 41,656.14 × 15,457.16
  4. Step 4: Simplify right side
    27,806.60x = 643,885,620.96
  5. Step 5: Solve for x
    x = 643,885,620.96/27,806.60
  6. Step 6: Final answer
    x = 23,155.86

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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.