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Finding the Fourth Proportional to 24,700.41, 34,087.23 and 14,089.86

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Solution

The fourth proportional to 24,700.41, 34,087.23 and 14,089.86 is: 19,444.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,700.41 : 34,087.23 = 14,089.86 : x
  2. Step 2: Convert to fraction form
    24,700.41/34,087.23 = 14,089.86/x
  3. Step 3: Cross multiply
    24,700.41x = 34,087.23 × 14,089.86
  4. Step 4: Simplify right side
    24,700.41x = 480,284,298.49
  5. Step 5: Solve for x
    x = 480,284,298.49/24,700.41
  6. Step 6: Final answer
    x = 19,444.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.