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Finding the Fourth Proportional to 16,341.94, 24,496.71 and 6,475.06

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Solution

The fourth proportional to 16,341.94, 24,496.71 and 6,475.06 is: 9,706.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,341.94 : 24,496.71 = 6,475.06 : x
  2. Step 2: Convert to fraction form
    16,341.94/24,496.71 = 6,475.06/x
  3. Step 3: Cross multiply
    16,341.94x = 24,496.71 × 6,475.06
  4. Step 4: Simplify right side
    16,341.94x = 158,617,667.05
  5. Step 5: Solve for x
    x = 158,617,667.05/16,341.94
  6. Step 6: Final answer
    x = 9,706.17

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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.