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Finding the Fourth Proportional to 24,671.26, 34,038.12 and 13,914.82

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Solution

The fourth proportional to 24,671.26, 34,038.12 and 13,914.82 is: 19,197.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,671.26 : 34,038.12 = 13,914.82 : x
  2. Step 2: Convert to fraction form
    24,671.26/34,038.12 = 13,914.82/x
  3. Step 3: Cross multiply
    24,671.26x = 34,038.12 × 13,914.82
  4. Step 4: Simplify right side
    24,671.26x = 473,634,312.94
  5. Step 5: Solve for x
    x = 473,634,312.94/24,671.26
  6. Step 6: Final answer
    x = 19,197.82

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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.