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Finding the Fourth Proportional to 14,312.62, 21,458.13 and 9,383.50

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Solution

The fourth proportional to 14,312.62, 21,458.13 and 9,383.50 is: 14,068.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312.62 : 21,458.13 = 9,383.50 : x
  2. Step 2: Convert to fraction form
    14,312.62/21,458.13 = 9,383.50/x
  3. Step 3: Cross multiply
    14,312.62x = 21,458.13 × 9,383.50
  4. Step 4: Simplify right side
    14,312.62x = 201,352,362.86
  5. Step 5: Solve for x
    x = 201,352,362.86/14,312.62
  6. Step 6: Final answer
    x = 14,068.17

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Why These Related Problems?

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