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Finding the Fourth Proportional to 25,289, 34,898.84 and 14,111

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Solution

The fourth proportional to 25,289, 34,898.84 and 14,111 is: 19,473.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,289 : 34,898.84 = 14,111 : x
  2. Step 2: Convert to fraction form
    25,289/34,898.84 = 14,111/x
  3. Step 3: Cross multiply
    25,289x = 34,898.84 × 14,111
  4. Step 4: Simplify right side
    25,289x = 492,457,531.24
  5. Step 5: Solve for x
    x = 492,457,531.24/25,289
  6. Step 6: Final answer
    x = 19,473.19

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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.