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Finding the Fourth Proportional to 12,364.47, 17,047.94 and 8,590.77

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Solution

The fourth proportional to 12,364.47, 17,047.94 and 8,590.77 is: 11,844.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.47 : 17,047.94 = 8,590.77 : x
  2. Step 2: Convert to fraction form
    12,364.47/17,047.94 = 8,590.77/x
  3. Step 3: Cross multiply
    12,364.47x = 17,047.94 × 8,590.77
  4. Step 4: Simplify right side
    12,364.47x = 146,454,888.56
  5. Step 5: Solve for x
    x = 146,454,888.56/12,364.47
  6. Step 6: Final answer
    x = 11,844.82

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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.