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Finding the Fourth Proportional to 25,825.50, 35,643.51 and 14,653.98

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Solution

The fourth proportional to 25,825.50, 35,643.51 and 14,653.98 is: 20,224.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,825.50 : 35,643.51 = 14,653.98 : x
  2. Step 2: Convert to fraction form
    25,825.50/35,643.51 = 14,653.98/x
  3. Step 3: Cross multiply
    25,825.50x = 35,643.51 × 14,653.98
  4. Step 4: Simplify right side
    25,825.50x = 522,319,282.67
  5. Step 5: Solve for x
    x = 522,319,282.67/25,825.50
  6. Step 6: Final answer
    x = 20,224.94

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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.