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Finding the Fourth Proportional to 25,857.40, 35,683.14 and 14,527.22

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Solution

The fourth proportional to 25,857.40, 35,683.14 and 14,527.22 is: 20,047.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,857.40 : 35,683.14 = 14,527.22 : x
  2. Step 2: Convert to fraction form
    25,857.40/35,683.14 = 14,527.22/x
  3. Step 3: Cross multiply
    25,857.40x = 35,683.14 × 14,527.22
  4. Step 4: Simplify right side
    25,857.40x = 518,376,825.07
  5. Step 5: Solve for x
    x = 518,376,825.07/25,857.40
  6. Step 6: Final answer
    x = 20,047.52

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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.