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Finding the Fourth Proportional to 14,965.50, 22,434.66 and 9,402

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Solution

The fourth proportional to 14,965.50, 22,434.66 and 9,402 is: 14,094.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,965.50 : 22,434.66 = 9,402 : x
  2. Step 2: Convert to fraction form
    14,965.50/22,434.66 = 9,402/x
  3. Step 3: Cross multiply
    14,965.50x = 22,434.66 × 9,402
  4. Step 4: Simplify right side
    14,965.50x = 210,930,673.32
  5. Step 5: Solve for x
    x = 210,930,673.32/14,965.50
  6. Step 6: Final answer
    x = 14,094.46

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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.