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Finding the Fourth Proportional to 25,289, 34,898.82 and 14,111.08

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Solution

The fourth proportional to 25,289, 34,898.82 and 14,111.08 is: 19,473.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,289 : 34,898.82 = 14,111.08 : x
  2. Step 2: Convert to fraction form
    25,289/34,898.82 = 14,111.08/x
  3. Step 3: Cross multiply
    25,289x = 34,898.82 × 14,111.08
  4. Step 4: Simplify right side
    25,289x = 492,460,040.93
  5. Step 5: Solve for x
    x = 492,460,040.93/25,289
  6. Step 6: Final answer
    x = 19,473.29

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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.