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Finding the Fourth Proportional to 11,830.61, 17,757.45 and 9,771.59

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Solution

The fourth proportional to 11,830.61, 17,757.45 and 9,771.59 is: 14,666.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.61 : 17,757.45 = 9,771.59 : x
  2. Step 2: Convert to fraction form
    11,830.61/17,757.45 = 9,771.59/x
  3. Step 3: Cross multiply
    11,830.61x = 17,757.45 × 9,771.59
  4. Step 4: Simplify right side
    11,830.61x = 173,518,432.06
  5. Step 5: Solve for x
    x = 173,518,432.06/11,830.61
  6. Step 6: Final answer
    x = 14,666.91

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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.