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Finding the Fourth Proportional to 14,032.60, 19,365 and 7,744.96

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Solution

The fourth proportional to 14,032.60, 19,365 and 7,744.96 is: 10,688.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,032.60 : 19,365 = 7,744.96 : x
  2. Step 2: Convert to fraction form
    14,032.60/19,365 = 7,744.96/x
  3. Step 3: Cross multiply
    14,032.60x = 19,365 × 7,744.96
  4. Step 4: Simplify right side
    14,032.60x = 149,981,150.40
  5. Step 5: Solve for x
    x = 149,981,150.40/14,032.60
  6. Step 6: Final answer
    x = 10,688.05

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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.