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Finding the Fourth Proportional to 25,297, 34,909.86 and 14,119

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Solution

The fourth proportional to 25,297, 34,909.86 and 14,119 is: 19,484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,297 : 34,909.86 = 14,119 : x
  2. Step 2: Convert to fraction form
    25,297/34,909.86 = 14,119/x
  3. Step 3: Cross multiply
    25,297x = 34,909.86 × 14,119
  4. Step 4: Simplify right side
    25,297x = 492,892,313.34
  5. Step 5: Solve for x
    x = 492,892,313.34/25,297
  6. Step 6: Final answer
    x = 19,484.22

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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.