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Finding the Fourth Proportional to 14,434.84, 21,631.74 and 6,419.80

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Solution

The fourth proportional to 14,434.84, 21,631.74 and 6,419.80 is: 9,620.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,434.84 : 21,631.74 = 6,419.80 : x
  2. Step 2: Convert to fraction form
    14,434.84/21,631.74 = 6,419.80/x
  3. Step 3: Cross multiply
    14,434.84x = 21,631.74 × 6,419.80
  4. Step 4: Simplify right side
    14,434.84x = 138,871,444.45
  5. Step 5: Solve for x
    x = 138,871,444.45/14,434.84
  6. Step 6: Final answer
    x = 9,620.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.