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Finding the Fourth Proportional to 24,925.21, 34,388.28 and 14,169

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Solution

The fourth proportional to 24,925.21, 34,388.28 and 14,169 is: 19,548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,925.21 : 34,388.28 = 14,169 : x
  2. Step 2: Convert to fraction form
    24,925.21/34,388.28 = 14,169/x
  3. Step 3: Cross multiply
    24,925.21x = 34,388.28 × 14,169
  4. Step 4: Simplify right side
    24,925.21x = 487,247,539.32
  5. Step 5: Solve for x
    x = 487,247,539.32/24,925.21
  6. Step 6: Final answer
    x = 19,548.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.