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Finding the Fourth Proportional to 14,402.46, 19,878.46 and 9,684

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Solution

The fourth proportional to 14,402.46, 19,878.46 and 9,684 is: 13,365.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,402.46 : 19,878.46 = 9,684 : x
  2. Step 2: Convert to fraction form
    14,402.46/19,878.46 = 9,684/x
  3. Step 3: Cross multiply
    14,402.46x = 19,878.46 × 9,684
  4. Step 4: Simplify right side
    14,402.46x = 192,503,006.64
  5. Step 5: Solve for x
    x = 192,503,006.64/14,402.46
  6. Step 6: Final answer
    x = 13,365.98

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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.