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Finding the Fourth Proportional to 25,822.02, 35,631.46 and 14,490

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Solution

The fourth proportional to 25,822.02, 35,631.46 and 14,490 is: 19,994.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,822.02 : 35,631.46 = 14,490 : x
  2. Step 2: Convert to fraction form
    25,822.02/35,631.46 = 14,490/x
  3. Step 3: Cross multiply
    25,822.02x = 35,631.46 × 14,490
  4. Step 4: Simplify right side
    25,822.02x = 516,299,855.40
  5. Step 5: Solve for x
    x = 516,299,855.40/25,822.02
  6. Step 6: Final answer
    x = 19,994.56

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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.