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Finding the Fourth Proportional to 25,637.72, 35,378.70 and 14,459

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Solution

The fourth proportional to 25,637.72, 35,378.70 and 14,459 is: 19,952.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,637.72 : 35,378.70 = 14,459 : x
  2. Step 2: Convert to fraction form
    25,637.72/35,378.70 = 14,459/x
  3. Step 3: Cross multiply
    25,637.72x = 35,378.70 × 14,459
  4. Step 4: Simplify right side
    25,637.72x = 511,540,623.30
  5. Step 5: Solve for x
    x = 511,540,623.30/25,637.72
  6. Step 6: Final answer
    x = 19,952.66

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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.