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Finding the Fourth Proportional to 14,032.41, 19,364.43 and 7,658.79

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Solution

The fourth proportional to 14,032.41, 19,364.43 and 7,658.79 is: 10,568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,032.41 : 19,364.43 = 7,658.79 : x
  2. Step 2: Convert to fraction form
    14,032.41/19,364.43 = 7,658.79/x
  3. Step 3: Cross multiply
    14,032.41x = 19,364.43 × 7,658.79
  4. Step 4: Simplify right side
    14,032.41x = 148,308,102.84
  5. Step 5: Solve for x
    x = 148,308,102.84/14,032.41
  6. Step 6: Final answer
    x = 10,568.97

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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.