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Finding the Fourth Proportional to 23,467.38, 32,384.98 and 14,038.17

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Solution

The fourth proportional to 23,467.38, 32,384.98 and 14,038.17 is: 19,372.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,467.38 : 32,384.98 = 14,038.17 : x
  2. Step 2: Convert to fraction form
    23,467.38/32,384.98 = 14,038.17/x
  3. Step 3: Cross multiply
    23,467.38x = 32,384.98 × 14,038.17
  4. Step 4: Simplify right side
    23,467.38x = 454,625,854.69
  5. Step 5: Solve for x
    x = 454,625,854.69/23,467.38
  6. Step 6: Final answer
    x = 19,372.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.