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Finding the Fourth Proportional to 14,470.87, 19,970.16 and 8,097.25

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Solution

The fourth proportional to 14,470.87, 19,970.16 and 8,097.25 is: 11,174.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470.87 : 19,970.16 = 8,097.25 : x
  2. Step 2: Convert to fraction form
    14,470.87/19,970.16 = 8,097.25/x
  3. Step 3: Cross multiply
    14,470.87x = 19,970.16 × 8,097.25
  4. Step 4: Simplify right side
    14,470.87x = 161,703,278.21
  5. Step 5: Solve for x
    x = 161,703,278.21/14,470.87
  6. Step 6: Final answer
    x = 11,174.40

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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.