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Finding the Fourth Proportional to 14,032.32, 19,364.51 and 7,744.70

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Solution

The fourth proportional to 14,032.32, 19,364.51 and 7,744.70 is: 10,687.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,032.32 : 19,364.51 = 7,744.70 : x
  2. Step 2: Convert to fraction form
    14,032.32/19,364.51 = 7,744.70/x
  3. Step 3: Cross multiply
    14,032.32x = 19,364.51 × 7,744.70
  4. Step 4: Simplify right side
    14,032.32x = 149,972,223.77
  5. Step 5: Solve for x
    x = 149,972,223.77/14,032.32
  6. Step 6: Final answer
    x = 10,687.63

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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.