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Finding the Fourth Proportional to 14,243.72, 19,658.25 and 10,700.78

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Solution

The fourth proportional to 14,243.72, 19,658.25 and 10,700.78 is: 14,768.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,243.72 : 19,658.25 = 10,700.78 : x
  2. Step 2: Convert to fraction form
    14,243.72/19,658.25 = 10,700.78/x
  3. Step 3: Cross multiply
    14,243.72x = 19,658.25 × 10,700.78
  4. Step 4: Simplify right side
    14,243.72x = 210,358,510.14
  5. Step 5: Solve for x
    x = 210,358,510.14/14,243.72
  6. Step 6: Final answer
    x = 14,768.51

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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.