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Finding the Fourth Proportional to 25,613.76, 35,349.80 and 14,861

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Solution

The fourth proportional to 25,613.76, 35,349.80 and 14,861 is: 20,509.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,613.76 : 35,349.80 = 14,861 : x
  2. Step 2: Convert to fraction form
    25,613.76/35,349.80 = 14,861/x
  3. Step 3: Cross multiply
    25,613.76x = 35,349.80 × 14,861
  4. Step 4: Simplify right side
    25,613.76x = 525,333,377.80
  5. Step 5: Solve for x
    x = 525,333,377.80/25,613.76
  6. Step 6: Final answer
    x = 20,509.81

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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.