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Finding the Fourth Proportional to 14,894.57, 22,341.86 and 7,505.24

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Solution

The fourth proportional to 14,894.57, 22,341.86 and 7,505.24 is: 11,257.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,894.57 : 22,341.86 = 7,505.24 : x
  2. Step 2: Convert to fraction form
    14,894.57/22,341.86 = 7,505.24/x
  3. Step 3: Cross multiply
    14,894.57x = 22,341.86 × 7,505.24
  4. Step 4: Simplify right side
    14,894.57x = 167,680,872.11
  5. Step 5: Solve for x
    x = 167,680,872.11/14,894.57
  6. Step 6: Final answer
    x = 11,257.86

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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.