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Finding the Fourth Proportional to 14,032.47, 19,364.79 and 7,744.86

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Solution

The fourth proportional to 14,032.47, 19,364.79 and 7,744.86 is: 10,687.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,032.47 : 19,364.79 = 7,744.86 : x
  2. Step 2: Convert to fraction form
    14,032.47/19,364.79 = 7,744.86/x
  3. Step 3: Cross multiply
    14,032.47x = 19,364.79 × 7,744.86
  4. Step 4: Simplify right side
    14,032.47x = 149,977,587.48
  5. Step 5: Solve for x
    x = 149,977,587.48/14,032.47
  6. Step 6: Final answer
    x = 10,687.90

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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.