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Finding the Fourth Proportional to 14,197.18, 19,592 and 7,909.50

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Solution

The fourth proportional to 14,197.18, 19,592 and 7,909.50 is: 10,915.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197.18 : 19,592 = 7,909.50 : x
  2. Step 2: Convert to fraction form
    14,197.18/19,592 = 7,909.50/x
  3. Step 3: Cross multiply
    14,197.18x = 19,592 × 7,909.50
  4. Step 4: Simplify right side
    14,197.18x = 154,962,924
  5. Step 5: Solve for x
    x = 154,962,924/14,197.18
  6. Step 6: Final answer
    x = 10,915.05

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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.