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Finding the Fourth Proportional to 25,238, 34,829.64 and 14,060

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Solution

The fourth proportional to 25,238, 34,829.64 and 14,060 is: 19,403.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,238 : 34,829.64 = 14,060 : x
  2. Step 2: Convert to fraction form
    25,238/34,829.64 = 14,060/x
  3. Step 3: Cross multiply
    25,238x = 34,829.64 × 14,060
  4. Step 4: Simplify right side
    25,238x = 489,704,738.40
  5. Step 5: Solve for x
    x = 489,704,738.40/25,238
  6. Step 6: Final answer
    x = 19,403.47

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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.