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Finding the Fourth Proportional to 25,613, 35,345.96 and 13,837

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Solution

The fourth proportional to 25,613, 35,345.96 and 13,837 is: 19,095.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,613 : 35,345.96 = 13,837 : x
  2. Step 2: Convert to fraction form
    25,613/35,345.96 = 13,837/x
  3. Step 3: Cross multiply
    25,613x = 35,345.96 × 13,837
  4. Step 4: Simplify right side
    25,613x = 489,082,048.52
  5. Step 5: Solve for x
    x = 489,082,048.52/25,613
  6. Step 6: Final answer
    x = 19,095.07

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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.