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Finding the Fourth Proportional to 25,176.57, 34,740.94 and 14,564.22

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Solution

The fourth proportional to 25,176.57, 34,740.94 and 14,564.22 is: 20,097.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,176.57 : 34,740.94 = 14,564.22 : x
  2. Step 2: Convert to fraction form
    25,176.57/34,740.94 = 14,564.22/x
  3. Step 3: Cross multiply
    25,176.57x = 34,740.94 × 14,564.22
  4. Step 4: Simplify right side
    25,176.57x = 505,974,693.17
  5. Step 5: Solve for x
    x = 505,974,693.17/25,176.57
  6. Step 6: Final answer
    x = 20,097.05

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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.