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Finding the Fourth Proportional to 19,846.41, 29,768.63 and 7,368.86

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Solution

The fourth proportional to 19,846.41, 29,768.63 and 7,368.86 is: 11,052.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,846.41 : 29,768.63 = 7,368.86 : x
  2. Step 2: Convert to fraction form
    19,846.41/29,768.63 = 7,368.86/x
  3. Step 3: Cross multiply
    19,846.41x = 29,768.63 × 7,368.86
  4. Step 4: Simplify right side
    19,846.41x = 219,360,681.17
  5. Step 5: Solve for x
    x = 219,360,681.17/19,846.41
  6. Step 6: Final answer
    x = 11,052.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.