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Finding the Fourth Proportional to 25,663.62, 35,414.74 and 14,332.92

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Solution

The fourth proportional to 25,663.62, 35,414.74 and 14,332.92 is: 19,778.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,663.62 : 35,414.74 = 14,332.92 : x
  2. Step 2: Convert to fraction form
    25,663.62/35,414.74 = 14,332.92/x
  3. Step 3: Cross multiply
    25,663.62x = 35,414.74 × 14,332.92
  4. Step 4: Simplify right side
    25,663.62x = 507,596,635.24
  5. Step 5: Solve for x
    x = 507,596,635.24/25,663.62
  6. Step 6: Final answer
    x = 19,778.84

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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.