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Finding the Fourth Proportional to 28,385.34, 42,582.68 and 9,663.46

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Solution

The fourth proportional to 28,385.34, 42,582.68 and 9,663.46 is: 14,496.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,385.34 : 42,582.68 = 9,663.46 : x
  2. Step 2: Convert to fraction form
    28,385.34/42,582.68 = 9,663.46/x
  3. Step 3: Cross multiply
    28,385.34x = 42,582.68 × 9,663.46
  4. Step 4: Simplify right side
    28,385.34x = 411,496,024.87
  5. Step 5: Solve for x
    x = 411,496,024.87/28,385.34
  6. Step 6: Final answer
    x = 14,496.78

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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.