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Finding the Fourth Proportional to 28,307.63, 42,461.82 and 10,778.42

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Solution

The fourth proportional to 28,307.63, 42,461.82 and 10,778.42 is: 16,167.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,307.63 : 42,461.82 = 10,778.42 : x
  2. Step 2: Convert to fraction form
    28,307.63/42,461.82 = 10,778.42/x
  3. Step 3: Cross multiply
    28,307.63x = 42,461.82 × 10,778.42
  4. Step 4: Simplify right side
    28,307.63x = 457,671,329.92
  5. Step 5: Solve for x
    x = 457,671,329.92/28,307.63
  6. Step 6: Final answer
    x = 16,167.77

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