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Finding the Fourth Proportional to 14,197.76, 19,592.16 and 7,909.52

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Solution

The fourth proportional to 14,197.76, 19,592.16 and 7,909.52 is: 10,914.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197.76 : 19,592.16 = 7,909.52 : x
  2. Step 2: Convert to fraction form
    14,197.76/19,592.16 = 7,909.52/x
  3. Step 3: Cross multiply
    14,197.76x = 19,592.16 × 7,909.52
  4. Step 4: Simplify right side
    14,197.76x = 154,964,581.36
  5. Step 5: Solve for x
    x = 154,964,581.36/14,197.76
  6. Step 6: Final answer
    x = 10,914.72

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