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Finding the Fourth Proportional to 12,019.72, 16,590.16 and 7,307.94

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Solution

The fourth proportional to 12,019.72, 16,590.16 and 7,307.94 is: 10,086.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.72 : 16,590.16 = 7,307.94 : x
  2. Step 2: Convert to fraction form
    12,019.72/16,590.16 = 7,307.94/x
  3. Step 3: Cross multiply
    12,019.72x = 16,590.16 × 7,307.94
  4. Step 4: Simplify right side
    12,019.72x = 121,239,893.87
  5. Step 5: Solve for x
    x = 121,239,893.87/12,019.72
  6. Step 6: Final answer
    x = 10,086.75

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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.